Answer:
32 and 40
Step-by-step explanation:
Their ages are in the ratio 4 : 5 = 4x : 5x ( x is a multiplier )
In 8 years their ages will be
4x + 8 and 5x + 8 in the ratio 5 : 6
Expressing this ratio in fractional form
[tex]\frac{4x+8}{5x+8}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
5(5x + 8) = 6(4x + 8) ← distribute parenthesis on both sides
25x + 40 = 24x + 48 ( subtract 24x from both sides )
x + 40 = 48 ( subtract 40 from both sides )
x = 8
Thus their present ages are
Asha = 4x = 4(8) = 32
Amina = 5x = 5(8) = 40
