Find all the ages when the son will be as old as his father today, the sum of their ages then will be 126 and when the father was as old as his son is today, the sum of their ages was 38

FofieiyK

FofieiyK

Answered question

2022-11-25

Find all the ages when the son will be as old as his father today, the sum of their ages then will be 126 and when the father was as old as his son is today, the sum of their ages was 38

Answer & Explanation

Viviana Robinson

Viviana Robinson

Beginner2022-11-26Added 7 answers

We shall represent the son's age 'today' by S and the father's age 'today' by F.

The first peace of information we have is that when the son's age(S+a few years) shall be equal to the father's present age(F), the sum of their ages shall be 126.

we shall then note that S +x= F
where x represent a number of years.

We now say that in x years the father's age will be F +x.

So the first information we have is : S +x+ F +x=126
but S + x = F x = F-S
3 F −S=126 ......(1)

The second information is that when the father's age was equal to the son's present age(father = F - a few year = S), the sum of their ages was 38.

we shall then note that F −y= S
where y represent a number of years.

This means that y years earlier the father's age was F −y.

This information translated into math is : F −y+ S −y=38
but F − y = S y = F-S
3 S-F =38 ......(2)

Solve equation (1) and (2) to obtain
{ F = 52 S = 30

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