Question

the present age of ram and diva are in the ratio 5:4 six years hence their ages will be in the ratio 7:6 .find their present age​

Answer 1

Ram's present age = 15 years

Diva's present age = 12 years

Explanation:

Let the common ratio for the age be x

so Ram's present age = 5x

Diva's present age = 4x

6 years hence

ram's age = (5x + 6)years

diva's age = (4x + 6)years

therefore new ratio (7:6) formed :

          $\frac{5x+6}{4x + 6} = \frac{7}{6}$  

6(5x+6) =7(4x+6)

30x + 36 = 28x + 42

30x - 28x = 42-36

2x = 6

x = 3

present age of ram = 5x = 5X3 = 15 years

present age of diva = 4x = 4X3 = 12 years

Answer 2

Answer:

and age Ram and Deepa are ratio is 5 ratio to 7 ratio 3