Question

Two numbers are in the ratio 2 : 5. If 16 is added to both the numbers, their ratio becomes1 : 2. The numbers are :

Answer 1

in 2:5, 2 is rep. as 2x and 5 is rep. as 5x

2x+ 16 / 5x+ 16 = 1/2(1:2 = 1/2)

cross multiplication

5x + 16 = 2(2x + 16)

5x + 16 = 4x + 32

5x - 4x = 32 - 16

x = 16

1st number = 2 * 16 = 32

2nd number = 5 * 16 = 80