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The product of two numbers is …

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The product of two numbers is 72. If their sum is 27 ,find the number.
  • 1 answers

Gaurav Seth 5 years, 6 months ago

Let one number be X & other be Y

then as per condition given

X * Y = 72 & X + Y = 27

Replacing the value of X from above condition we have

72/Y + Y = 27

or 72 + y * Y =27 Y

Y* Y -27 Y + 72 = 0

Y * Y -24 Y -3 Y + 72 =0

Y(Y - 24 ) - 3( Y-24 ) =0

( Y-24 ) ( Y-3 ) =0

therefore Y = 24 or Y = 3

Replacing these values in X * Y = 72 we have

X = 3 or 24

Therfore one number is 24 & other number is 3

Now if we add 24 + 3 = 27

if we multiply 24 * 3 + 72

Therfore one number is 24 & other number is 3.

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