Question
Two numbers are in the ratio 2:7. The product of their
H.C.F. and L.C.M. is 5054. The sum of the numbers is:Solution
Let the numbers be 2x and 7x respectively. First number × second number = HCF × LCM => 2x × 7x = 5054 => x2 = [5054/(2×7)] = 361 => x = √361 = 19 Sum of the numbers = 2x + 7x = 9x = 9 × 19 = 171
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