Question

Two numbers are in the ratio 5:7.if 2 is subtracted from each numbers,then the ratio becomes 7:10.find the numbers​

Answer 1

Answer:

The numbers are in the ratio 5:7

Let their common multiple be 'x'

The numbers are 5x, 7x

If 3 is subtracted from each of them the ratio becomes 2:3

5x-3/7x-3 = 2/3

3(5x-3) = 2(7x-3) (cross multiplication)

15x -9 = 14x -6

15x-14x = -6+9

x=+3

Therefore the numbers are 5* 3 =15, 7*3 = 21

(Verifications when 3 is subtracted from each other ,the ratio is 2/3, 15–3/21–3 = 12/18 = 2/3 ) verified)

The numbers are 15 & 21.

Step-by-step explanation:

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Answer 2

Given :-

Two numbers are in the ratio 5:7.if 2 is subtracted from each numbers,then the ratio becomes 7:10

To Find :-

Numbers

Solution :-

Let the number be 5x and 7x

Now

When 2 subtracted

5x - 2/7x - 2 = 7/10

10(5x - 2) = 7(7x - 2)

50x - 20 = 49x - 14

50x - 49x = 20 - 14

x = 6

Now,

Number are

5x = 30

7x = 42