1) Answers: Bobby = 22, Chris = 19
Explanation:
This year Last year
Bobby: 3 + x 3 + x - 1 = 2 + x
Chris: x x - 1
Bobby (last year) + Chris (last year) = sum (last year)
2 + x + x - 1 = 39
2 + x + x - 1 = 39
2 + 2x - 1 = 39
2x + 1 = 39
2x = 38
x = 19
Bobby (this year): 3 + x = 3 + 19 = 22
Chris (this year): x = 19
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2. Answers: Beth = 25, Celeste = 30
Explanation:
This year Next year
Beth: x - 5 x - 5 + 1 = x - 4
Celeste: x x + 1
Beth (next year) + Celeste (next year) = sum (next year)
x - 4 + x + 1 = 57
x - 4 + x + 1 = 57
2x - 3 = 57
2x = 60
x = 30
Beth (this year): x - 5 = 30 - 5 = 25
Celeste: x = 30
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3. Answers: Donna = 38, brother = 50
Explanation:
This year in 2 years
Donna: x - 12 x - 12 + 2 and (x + 2)/2 + 14
brother: x x + 2
Donna (in 2 years) = Donna (in 2 years)
x - 10 = (x+2)/2 + 14
x - 24 = (x+2)/2
2x - 48 = x + 2
x = 50
Donna (this year): x - 12 = 50 - 12 = 38
brother: x = 50
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4. Answers: Freddie = 40, Elena = 8
Explanation:
This year in 4 years
Freddie: 5x 5x + 4 and 3(x + 4) + 8
Elena: x x + 4
Freddie (in 4 years) = Freddie (in 4 years)
5x + 4 = 3(x + 4) + 8
5x + 4 = 3x + 12 + 8
2x = 16
x = 8
Freddie: 5x = 5(8) = 40
Elena: x = 8
