Question

Two numbers are in the ratio 7 : 10. If 8 is added to each number, the ratio becomes 3 : 4. Find the nLimbers. 

Answer 1

Let the two numbers be 7x and 10x; since the ratio between numbers is 7 : 10 

Now, 

`(7"x" + 8)/(10"y" + 8) = 3/4`

⇒ 28 x + 32 =  30 x + 24 

⇒ 2x = 8

⇒ x = 4

∴ 7x =  28 

10 x = 40

Therefore, two numbers are 28 and 40.