Twice the total of two numbers is 60. The larger exceeds twice the smaller by 12. Find the numbers?

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13 Answers

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  • 1 month ago

    2(A+B)=60. A+B=30. 30/2=15 15+6=21, 15-6=9

    9+21=30 21-9=12. 2*(9+21)=60.

    9 & 21

  • oubaas
    Lv 7
    1 month ago

    2(a+b) = 60

    a = 2b+12

    4b+24+2b = 60

    6b = 60-24 = 36

    b = 6 ; a = 12+12 = 24

  • 1 month ago

    2x + 2y = 60

    x = 2y + 12

    2x - 4y = 24

    6y = 36

    y = 6

    x = 24

    The two numbers are 24 and 6.

  • 1 month ago

    I gotchu fam. I found your numbers. Hope this helps!

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  • sepia
    Lv 7
    1 month ago

    2(x + y) = 60

    x = 2y + 12

    2x + 2y = 60

    2x - 4y = 24

    6y = 36

    y = 6

    x = 24

    The two numbers are 24 and 6.

  • 1 month ago

    60/2=s+2s+12

    18=3s

    s=6

  • 1 month ago

    Let L be the larger.

    Let S be the smaller.

    Twice the total of two numbers is 60:

    2(L + S) = 60

    The larger exceeds twice the smaller by 12:

    L = 2S + 12

    Let's substitute in for L into the first equation:

    2(2S + 12 + S) = 60

    2(3S + 12) = 60

    Divide both sides by 2

    3S + 12 = 30

    3S = 30 - 12

    3S = 18

    S = 18/3

    S = 6

    Then figure out the larger:

    L = 2S + 12

    L = 2(6) + 12

    L = 24

    Answer:

    The smaller number is 6 and the larger number is 24.

  • 1 month ago

    This is a classic "simultaneous equations" problem. You need to set up two equations that describe the two clues given.

    A = the larger number, B = the smaller number.

    2(A + B) = 60

    A + 12 = 2B

    Plug and chug.

    • Puzzling
      Lv 7
      1 month agoReport

      The second equation should be A = 2B + 12

  • Kaz
    Lv 6
    1 month ago

    6 & 24 .

  • Jay
    Lv 6
    1 month ago

    You don't need to tell us. Go ahead and do it.

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