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31 October, 15:00

The product of two positive numbers is 750. The first number is 5 less than the second number. The equation x (x - 5) = 750 can be used to find x, the value of the greater number.

What is the value of the greater number?

a. 15

b. 25

c. 30

d. 50

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Answers (1)
  1. 31 October, 18:25
    0
    Ab=750 and a=b-5, using this value of a in the original equation gives you:

    (b-5) b=750

    b^2-5b=750

    b^2-5b-750=0

    b^2-30b+25b-750=0

    b (b-30) + 25 (b-30) = 0

    (b+25) (b-30) = 0

    b=30
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