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the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers.
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the two numbers are in the ratio 1:2 . if both the numbers are increas...
**Problem Statement:**
The problem states that there are two numbers in a ratio of 1:2. When both numbers are increased by 10, their ratio becomes 2:3. We are required to find the two numbers.
**Solution:**
Let's assume that the two numbers in the ratio 1:2 are x and 2x.
According to the given information, when both numbers are increased by 10, their ratio becomes 2:3.
So, the new numbers will be (x + 10) and (2x + 10).
The new ratio can be written as (x + 10) : (2x + 10) = 2 : 3.
Now, we can solve this equation to find the value of x.
Cross-multiplying, we get 3(x + 10) = 2(2x + 10).
Simplifying the equation, we have 3x + 30 = 4x + 20.
Bringing all the variables to one side, we get 4x - 3x = 30 - 20.
Simplifying further, we have x = 10.
Now that we have found the value of x, we can substitute it back into the original ratio to find the two numbers.
The two numbers are x = 10 and 2x = 2 * 10 = 20.
Therefore, the two numbers are 10 and 20.
**Answer:**
The two numbers are 10 and 20.
The problem states that there are two numbers in a ratio of 1:2. When both numbers are increased by 10, their ratio becomes 2:3. We are required to find the two numbers.
**Solution:**
Let's assume that the two numbers in the ratio 1:2 are x and 2x.
According to the given information, when both numbers are increased by 10, their ratio becomes 2:3.
So, the new numbers will be (x + 10) and (2x + 10).
The new ratio can be written as (x + 10) : (2x + 10) = 2 : 3.
Now, we can solve this equation to find the value of x.
Cross-multiplying, we get 3(x + 10) = 2(2x + 10).
Simplifying the equation, we have 3x + 30 = 4x + 20.
Bringing all the variables to one side, we get 4x - 3x = 30 - 20.
Simplifying further, we have x = 10.
Now that we have found the value of x, we can substitute it back into the original ratio to find the two numbers.
The two numbers are x = 10 and 2x = 2 * 10 = 20.
Therefore, the two numbers are 10 and 20.
**Answer:**
The two numbers are 10 and 20.
Community Answer
the two numbers are in the ratio 1:2 . if both the numbers are increas...
Let the no be x and y
so, x/y=1/2 =k
given both are increased by 10
so, x+10/y+10=2/3
(x+10) /(y+10) =2/3
3x+30=2y+20
now let x be k and y be 2k
so, 3k+30=2×2k+20
3k+30=4k+20
or, 4k+20=3k+30
4k-3k=30-20
k=10
so the numbers will be
x=k=10
y=2k=20
so, x/y=1/2 =k
given both are increased by 10
so, x+10/y+10=2/3
(x+10) /(y+10) =2/3
3x+30=2y+20
now let x be k and y be 2k
so, 3k+30=2×2k+20
3k+30=4k+20
or, 4k+20=3k+30
4k-3k=30-20
k=10
so the numbers will be
x=k=10
y=2k=20
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the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable?
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the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable?.
the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the two numbers are in the ratio 1:2 . if both the numbers are increased by 10 , their ratio becomes 2:3 . find the numbers. Related: NCERT Solutions(Part- 1)- Linear Equations in One Variable?.
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