Question

Amirah is 4 years older than Priya and Shirley is

Answer 1

Answer:

Priyah = 15

Amirah = 19

Shirley = 13

Step-by-step explanation:

Let A represents Amirah, P Priyah and S, Shirley.

So, we have:

$A = 4 + P$ --- 4 years older

$S = P - 2$ --- 2 years younger

$A + P + S = 47$

Required

Find their ages

Substitute 4 + P for A and P - 2 for S in $A + P + S = 47$

$4 + P + P + P - 2 = 47$

$4 + 3P - 2 = 47$

Collect Like Terms

$3P = 47 - 4+ 2$

$3P = 45$

Divide both sides by 3

$P = \frac{45}{3}$

$P = 15$

Substitute 15 for P in $A = 4 + P$ and $S = P - 2$

$A = 4 + 15$

$A = 19$

$S = 15 - 2$

$S = 13$