Question

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.

Answer 1

45 , 25

Explanation:

Answer 2

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