Answer:
Priyah = 15
Amirah = 19
Shirley = 13
Step-by-step explanation:
Let A represents Amirah, P Priyah and S, Shirley.
So, we have:
[tex]A = 4 + P[/tex] --- 4 years older
[tex]S = P - 2[/tex] --- 2 years younger
[tex]A + P + S = 47[/tex]
Required
Find their ages
Substitute 4 + P for A and P - 2 for S in [tex]A + P + S = 47[/tex]
[tex]4 + P + P + P - 2 = 47[/tex]
[tex]4 + 3P - 2 = 47[/tex]
Collect Like Terms
[tex]3P = 47 - 4+ 2[/tex]
[tex]3P = 45[/tex]
Divide both sides by 3
[tex]P = \frac{45}{3}[/tex]
[tex]P = 15[/tex]
Substitute 15 for P in [tex]A = 4 + P[/tex] and [tex]S = P - 2[/tex]
[tex]A = 4 + 15[/tex]
[tex]A = 19[/tex]
[tex]S = 15 - 2[/tex]
[tex]S = 13[/tex]
