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A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically?
Most Upvoted Answer
A and B each have a certain number of mangoes .A says to B if you give...
Let,A have X mangoes , B have Y mangoes ..
the equation will be
30+x=2(y-30)
y+10=3(x-10)
on solving ,we have
x-2y=-90. (1)
3x-y=20 (2)
we will get , X=26 and Y =58
the equation will be
30+x=2(y-30)
y+10=3(x-10)
on solving ,we have
x-2y=-90. (1)
3x-y=20 (2)
we will get , X=26 and Y =58
Community Answer
A and B each have a certain number of mangoes .A says to B if you give...
Problem Statement:
A and B each have a certain number of mangoes. A says to B, "If you give 30 of your mangoes, I will have twice as many as you." B replies, "If you give me 10 mangoes, I will have three times as many as you."
Representation:
Let's represent the number of mangoes A and B have using variables. Let 'x' be the number of mangoes A has, and 'y' be the number of mangoes B has.
Statement 1: A says, "If you give 30 of your mangoes, I will have twice as many as you."
If B gives 30 mangoes to A, then A will have x + 30 mangoes, and B will have y - 30 mangoes. According to the statement, A will have twice as many mangoes as B.
So, the equation representing the first statement is:
x + 30 = 2(y - 30)
Statement 2: B replies, "If you give me 10 mangoes, I will have three times as many as you."
If A gives 10 mangoes to B, then A will have x - 10 mangoes, and B will have y + 10 mangoes. According to the statement, B will have three times as many mangoes as A.
So, the equation representing the second statement is:
y + 10 = 3(x - 10)
Solving the Equations:
Now, we have a system of two equations:
1) x + 30 = 2(y - 30)
2) y + 10 = 3(x - 10)
We can solve these equations simultaneously to find the values of x and y.
Simplifying equation 1:
x + 30 = 2y - 60
x - 2y = -90
Simplifying equation 2:
y + 10 = 3x - 30
y - 3x = -40
Now, we can solve the system of equations using any method like substitution or elimination to find the values of x and y.
Conclusion:
The algebraic representation of the situation is:
x - 2y = -90
y - 3x = -40
Solving these equations will give us the values of x and y, which represent the number of mangoes A and B have respectively.
A and B each have a certain number of mangoes. A says to B, "If you give 30 of your mangoes, I will have twice as many as you." B replies, "If you give me 10 mangoes, I will have three times as many as you."
Representation:
Let's represent the number of mangoes A and B have using variables. Let 'x' be the number of mangoes A has, and 'y' be the number of mangoes B has.
Statement 1: A says, "If you give 30 of your mangoes, I will have twice as many as you."
If B gives 30 mangoes to A, then A will have x + 30 mangoes, and B will have y - 30 mangoes. According to the statement, A will have twice as many mangoes as B.
So, the equation representing the first statement is:
x + 30 = 2(y - 30)
Statement 2: B replies, "If you give me 10 mangoes, I will have three times as many as you."
If A gives 10 mangoes to B, then A will have x - 10 mangoes, and B will have y + 10 mangoes. According to the statement, B will have three times as many mangoes as A.
So, the equation representing the second statement is:
y + 10 = 3(x - 10)
Solving the Equations:
Now, we have a system of two equations:
1) x + 30 = 2(y - 30)
2) y + 10 = 3(x - 10)
We can solve these equations simultaneously to find the values of x and y.
Simplifying equation 1:
x + 30 = 2y - 60
x - 2y = -90
Simplifying equation 2:
y + 10 = 3x - 30
y - 3x = -40
Now, we can solve the system of equations using any method like substitution or elimination to find the values of x and y.
Conclusion:
The algebraic representation of the situation is:
x - 2y = -90
y - 3x = -40
Solving these equations will give us the values of x and y, which represent the number of mangoes A and B have respectively.
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A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically?
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A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically?.
A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically?.
Solutions for A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? in English & in Hindi are available as part of our courses for Class 10.
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A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically?, a detailed solution for A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? has been provided alongside types of A and B each have a certain number of mangoes .A says to B if you give 30 of your Mangoes I will have twice as many as left with you .B replies, if you give me 10, I will have tried as many as left with you .Represent the situation algebraically? theory, EduRev gives you an
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