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A number is three less than four times a number.their sum is 102.what are the numbers?

Sagot :

Let 'x' be the 1st number
      'y' be the other number
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-one of the numbers is three less than four times the other
y = 4x - 3     -------equation 1
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-their sum is 102
x + y = 102   ----equation 2
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Substitute equation 1 to equation 2
x + (4x - 3) = 102
x + 4x - 3 = 102
x + 4x = 102 + 3
5x = 105
x = 21
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Substitute x=21 to equation 1
y = 4x - 3
y = 4(21) - 3
y = 81
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Therefore the numbers are 21 and 81.