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anonymous

  • 5 years ago

How do I figure out what the two wole numbers whose product is 1224 and whose sum is 70 is?

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  1. anonymous
    • 5 years ago
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    simultaneous equations

  2. anonymous
    • 5 years ago
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    ??

  3. watchmath
    • 5 years ago
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    36 and 34 I guess :)

  4. anonymous
    • 5 years ago
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    Think of all the numbers that add up to 70, then multiply the pairs untill you find one that = 1224 .

  5. anonymous
    • 5 years ago
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    Thank you. I can figure it out that way but wasn't sure if there was a alegbra fomula for this?

  6. watchmath
    • 5 years ago
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    Use intellegent guess. 40 times 30 is 1200. So the two numbers roughly between 30 and 40. To make the sum 70 and the last digit equal 4, we need the two end digits to be 4 and 6. Hence the best bet is 34,36. Checking the product of the two confirm our guess.

  7. watchmath
    • 5 years ago
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    If you want to solve this algebraically: \(x+y=70\) \(xy=1224\) \(x(70-x)=1224\) \(-x^2+70x-1224=0\) Use quadratic formula to solve it for x.

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