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Shining Brightly
Shining Brightly asked in Science & MathematicsMathematics · 5 years ago

the sum of two numbers is 31. twice the lesser number is 6 less than twice the greater number. what are the numbers? Help?

i think the equation looks like this but I don't know for sure...(x*2-6)+(x*2)=31

Help please

2 Answers

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  • Efrenilo
    Lv 4
    5 years ago

    Let x - greater number and y- lesser number

    "The sum of two numbers is 31" so

    x+y =31 <--eq.1

    "twice the lesser number is 6 less than twice the greater number" so

    2y = 2x - 6 or by simplifying:

    y = x-3 <--eq.2

    We can now solve for x&y:

    Substituting eq.2 to eq.1:

    x+y =31

    x+(x-3) =31

    2x - 3 =31

    2x = 34

    x = 17

    Therefore,

    y = 14

    The numbers are 17 and 14 <--ANSWER

  • alex
    Lv 7
    5 years ago

    x, y are 2 numbers , with x>y

    x+y =31 and 2y = 2x - 6

    solve for x , y

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