Question

please someone help me out with the question​

Answer 1

Answer:

14 years, 17 years

Step-by-step explanation:

Let the present age of daughter be x years.

Then, the present age of mother will be (31 - x) years.

A.T.Q.

$\frac{x + 10}{31 - x + 10} = \frac{8}{9} \\ \frac{x + 10}{41 - x} = \frac{8}{9} \\ 9(x + 10) = 8(41 - x) \\ 9x + 90 = 328 - 8x \\ 9x + 8x = 328 - 90 \\ 17x = 238 \\ x = 14$

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