Question

five years ago, Nina was twice as old as Sam. In five years she will be 1.5 times as old as Sam. How old are Nina and Sam now?

Answer 1

The age of Nina and sam are 15years and 10 years respectively now

System of equations

They consists of equations and unknown variables

Let their current age be x and y

If five years ago, Nina was twice as old as Sam then;

x - 5 = 2(y-5)

If in five years she will be 1.5 times as old as Sam, then;

x = 1.5y

Substitute

1.5y - 5 = 2y -10

-0.5y  = -5

y =5/0.5

y = 10

Since x = 1.5y

x = 15years

Hence the age of Nina and sam are 15years and 10 years respectively now

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