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6 August, 15:15

The sum of positive integers b and h is 34. If their difference is 8, what is the value of bh?

Select one:

A. 25

B. 56

C. 75

D. 273

+1
Answers (2)
  1. 6 August, 15:26
    0
    D

    given the 2 expressions, construct 2 equations

    b + h = 34 → (1)

    b - h = 8 → (2) with b > h

    add (1) and (2) term by term to eliminate h

    2b = 42 ⇒ b = 21

    substitute b = 21 in (1) and solve for h

    21 + h = 34 ⇒ h = 34 - 21 = 13

    hence bh = 21 * 13 = 273 → D
  2. 6 August, 15:43
    0
    b+h=34 and b-h=8

    So b=8+h

    8+h+h=34

    2h=26

    h=13

    b=21

    bh=21*13=273

    D is your answer
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