Question
Two numbers are in the ratio 3:5. The product of their
H.C.F. and L.C.M. is 3375. The sum of the numbers is:Solution
Let the numbers be 3x and 5x respectively. First number × second number = HCF × LCM => 3x × 5x = 3375 => x2 = [3375/(3×5)] = 225 => x = √225 = 15 Sum of the numbers = 3x + 5x = 8x = 8 × 15 = 120
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