Answer:
20 years
Step-by-step explanation:
Given the ratio of their ages = 5 : 4 = 5x : 4x ( x is a multiplier )
Then in 5 years
5x + 5 : 4x + 5 = 6 : 5 , that is
[tex]\frac{5x+5}{4x+5}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
5(5x + 5) = 6(4x + 5) ← distribute parenthesis on both sides
25x + 25 = 24x + 30 ( subtract 24x from both sides )
x + 25 = 30 ( subtract 25 from both sides )
x = 5
Thus
Kiran's age is 4x = 4 × 5 = 20
