Answer:
1. W=19, L=12
2. Next year Stephanie will be 14 and her Brother will be 6
3. 8, 9, 10
Step-by-step explanation:
1.
(a) W = 2L -5 => W - 2L = -5
(b) 2W + 2L = 62
Making (a)+(b):
3W = 57 => W = 19
from (a): L = (W+5)/2 = 12
2.
Today: S = 2B + 3 => S - 2B = 3 (a),
where S and B are Stephanie and Brother current age
2 years ago: (S-2) + (B-2) = 14,
so S + B = 14 + 4
S + B = 18 (b)
(a) - (b):
-3B = -15 => B = 5
from (a) S = 13
Verification:
2 years ago Stephanie was 11 and Brother was 3, the sum was 14, ok.
Next year Stephanie will be 14 and her Brother will be 6
3. We will find integers: s, m and b:
they are consecutive, so:
m = s+1
b = m+1 = s+2
and:::
s + 2m = b + 16 (a)
In (a) let's express all in terms of s:
s + 2(s+1) = s+2 + 16 =>
2s + 2 = 2 + 16 => s = 8, m=9, b=10
