Question

Present ages of Anita and Matt are in the ratio 4:5. Eight years from now the ratio of their ages will
be 5:6. Find their present ages.

Answer 1

Answer:

Anita's age = 32 years

Matt's age = 40 years

Step-by-step explanation:

Present ages of Anita and Matt are in the ratio 4:5. Eight years from now the ratio of their ages will  be 5:6.

∴ $\frac{4x+ 8}{5x+8} = \frac{5}{6}$

6 (4x +8) = 5 (5x + 8)

24x + 48 = 25x + 40

48 - 40 = 25x - 24x

8 = x

Present age of Anita = 4x = 4(8) = 32

Present age of Matt = 5x = 5(8) = 40

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