Question

Two numbers are such that the ratio between them is 5:7.If 7 is added to both of them,the ratio becomes 3:4.Find the numbers.

Answer 1

Answer:

35 and 49

Step-by-step explanation:

Ratio = 5:7

If 7 is added then ratio becomes 3:4

So

5x + 7 / 7x + 7 = 3 / 4

On cross multiplication we get

4(5x+7) = 3(7x+7)

20x + 28 = 21x + 21

28 - 21 = X

X = 7

Then the numbers are

5 × 7 = 35

7 × 7 = 49

Answer 2

Answer:

5x=35

7x=49

Step-by-step explanation:

given ratio=5:7

let's take it as 5x:7x as we don't know the exact values.

5x+7 : 7x+7 =3:4

this can be written as,

5x+7/7x+7=3/4

by cross multiplication, we get,

4( 5x+7)=3(7x+7)

20x + 28 = 21x + 21

by rearranging it,

21x-20x=28-21

x=7

the numbers at the start were 5x and 7x

5x= 5×7

    =35

7x=7×7

   =49

hope it helped:)