Question

The ratio of two numbers is 3 : 4. If 7 is subtracted from each number, the ratio becomes
2:3. Find the numbers.
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Answer 1

Answer:

21 and 28

Step-by -step explanation

the two numbers be 3x and 4x.

Subtract 7 from each of these numbers. We get 3x-7 and 4x-7.

new number  is 2:3

3x-7/4x-7 = 2/3

by cross multiplication

3(3x-7) = 2(4x-7)

9x-21 = 8x-14

9x-8x = -14+21

x = 7

now ,

required number is :-

3x = 3*7 = 21 and

4x = 4*7 = 28

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