Question

The question was if the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their age becomes 7:8?; The question was if the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their age becomes 7:8?

Answer 1

Answer:

6 Years

Step-by-step explanation:

Ratio of age of two persons is 5:6

Let say first person Age = 5x

then second person age = 6x

Sum of there are ages = 5x + 6x = 11x

11x = 33

=> x = 3

First Person age = 5 * 3 = 15 Years

Second Person Age = 6 * 3 = 18 Years

Let say after y Years there age is in the ratio of 7:8

so

$\frac{15+y}{18+y}  = \frac{7}{8}$

=> 120 + 8y = 126 + 7y

=> y = 6

after 6 years their age would be in ratio of 7:8