Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages now.

Question

asked Jul 28, 2022 184k views

2 Answers

Richard Lindhout · Answer 1 · 2022-08-04T05:07:18+0000

Answer: 45 and 25

Explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

$\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)$

In 10 years sum of their ages is 90

$\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)$

On solving (i) and (ii) we get

$\Rightarrow x=25,y=45$

So, the current age of victor is 45 and his daughter is 25