Question

I NEED HELP PLEASE!!!!

Answer 1

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