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Can you solve this math challlenge?

The HCF of two numbers is 10.

The LCM of the two numbers is 1800.

The difference between the two numbers is 310.

What are the two numbers?

If you look at this the right way, you can solve it fairly easily without using a calculator.

Update:

Darn, that got answered too fast! What if it was the same problem, but the difference was 110?

3 Answers

Relevance
  • 8 years ago
    Favorite Answer

    50 and 360

  • pc-5
    Lv 6
    8 years ago

    ab = 18000

    a - b = 310

    (b+310)b = 18000

    b^2 + 310b - 18000 = 0

    (b + 360)(b - 50) = 0

    b = 50

    a = 360

    The two numbers are 50 and 360.

  • Anonymous
    5 years ago

    2x + 2y = 20 making use of the simultaneous approach 2x - 2y = 4 ____________ 4x = 24 ( divide by 4) x = 6 replace x in considered one of the two equations 2x + 2y = 20 2 (6) + 2y = 20 12 +2y = 20 2y = 20 - 12 2y = 8 (divide by 2) y = 4 answer : X = 6 , Y = 4

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