Question

Martina is currently 18 years older than her cousin Joey in five years she will be three times as old as Joey use this information to answer the following questions. Help!

Answer 1

The age of Joey is 4 years and

The age of Martina is 22 years .

Explanation:

Given as :

Martina is 18 years older than her Joey

In 5 years, Martina will be three times older than Joey

Let The age of Martina = M years

And The age of Joey = J years

Now, According to questions

M = J + 18 ........1

(M+5) = 3 × (J+5)

Or, M + 5 = 3 J + 15

Or, M - 3 J = 15 - 5

∴ M - 3 J = 10 ..........2

Solving eq 1 and 2

Put the value of M from eq 1 into eq 2

So, (J + 18) - 3 J = 10

Or, J - 3 J = 10 - 18

Or, - 2 J = - 8

∴ J =
`(8)/(2)`

i.e J = 4 years

So, The age of Joey = J = 4 years

Now, Put the value of J in eq 1

So, M = J + 18

Or, M = 4 + 18

∴ M = 22 years

So, The age of Martina = M = 22 years

Hence,The age of Joey is 4 years and The age of Martina is 22 years . Answer