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FridaMoge

The Least Common Multiple and HighestCommon Factor of two numbers are 60 and 4respectively. If their sum is 32, then what willbe the difference of these two numbers?1. 42.83. 124.20​

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Answer:

LET THE NUMBERS BE X AND Y

GIVEN ,

XY = 60 × 4 = 240 ( AS PRODUCT OF TWO NO.S = HCF OF THAT NO × LCM OF THAT NO)

XY = 240

X = 240 / Y

GIVEN ,

X + Y = 32

240 / Y + Y = 32

Y² + 32Y + 240 = 0

SOLVING ,

Y = -12 OR 20

AS -12 CANT BE CONSIDERED, Y = 20

=> X = 240 / 20 = 12

THEREFORE , NOW THE DIFFERENCE OF THESE NO.S = 20 - 12 = 8

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