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One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is?
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One number is 6 less than 3tines of other if their sun is increased by...
Problem Statement:
One number is 6 less than 3 times the other. If their sum is increased by 10, the result is 80. Find the other number.
Solution:
Let's solve this problem step by step:
Step 1: Assign Variables
Let's assign variables to the unknown numbers.
Let's say the first number is x.
The second number will be 3 times the first number minus 6, which can be written as 3x - 6.
Step 2: Set up the Equation
According to the problem, the sum of the two numbers increased by 10 is equal to 80. We can write this as an equation:
x + (3x - 6) + 10 = 80
Step 3: Simplify the Equation
Solve the equation by combining like terms:
4x - 6 + 10 = 80
4x + 4 = 80
Step 4: Isolate the Variable
To isolate the variable, we need to get rid of the constant term. Subtract 4 from both sides of the equation:
4x = 80 - 4
4x = 76
Step 5: Solve for x
Divide both sides of the equation by 4 to solve for x:
x = 76/4
x = 19
Step 6: Find the Other Number
We know that the second number is 3 times the first number minus 6. Plug in the value of x to find the second number:
3(19) - 6 = 57 - 6 = 51
Answer:
The other number is 51.
One number is 6 less than 3 times the other. If their sum is increased by 10, the result is 80. Find the other number.
Solution:
Let's solve this problem step by step:
Step 1: Assign Variables
Let's assign variables to the unknown numbers.
Let's say the first number is x.
The second number will be 3 times the first number minus 6, which can be written as 3x - 6.
Step 2: Set up the Equation
According to the problem, the sum of the two numbers increased by 10 is equal to 80. We can write this as an equation:
x + (3x - 6) + 10 = 80
Step 3: Simplify the Equation
Solve the equation by combining like terms:
4x - 6 + 10 = 80
4x + 4 = 80
Step 4: Isolate the Variable
To isolate the variable, we need to get rid of the constant term. Subtract 4 from both sides of the equation:
4x = 80 - 4
4x = 76
Step 5: Solve for x
Divide both sides of the equation by 4 to solve for x:
x = 76/4
x = 19
Step 6: Find the Other Number
We know that the second number is 3 times the first number minus 6. Plug in the value of x to find the second number:
3(19) - 6 = 57 - 6 = 51
Answer:
The other number is 51.
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One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is?
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One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is?.
One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One number is 6 less than 3tines of other if their sun is increased by 10, the result is 80, then the other number is?.
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