Question

Aiman is 4 times as old as Sakeenah. Sakeenah is 2 times as old as Ahmad. Aiman is 14 years older than Ahmad. What is their total age? Answer years old

Answer 1

Let:

x = Aiman age

y = Sakeenah age

z = Ahmad age

Aiman is 4 times as old as Sakeenah, so:

`x=4y_{\text{ }}(1)`

Sakeenah is 2 times as old as Ahmad:

`z=2y_{\text{ }}(2)`

Aiman is 14 years older than Ahmad:

`z=x-14_{}(3)`

Replace (2) and (1) into (3):

`\begin{gathered} 2y=4y-14 \\ 2y=14 \\ y=(14)/(2) \end{gathered}`

Therefore:

`\begin{gathered} z=2(7) \\ z=14 \end{gathered}`
`\begin{gathered} x=4(7) \\ x=28 \end{gathered}`

So, their total age is:

`x+y+z=28+7+14=49`

Answer:

49