Question
Two numbers are in the ratio 4:9. The product of their
H.C.F. and L.C.M. is 5184. The sum of the numbers is:Solution
Let the numbers be 4x and 9x respectively. First number × second number = HCF × LCM => 4x × 9x = 5184 => x2 = [5184/(4×9)] = 144 => x = √144 = 12 Sum of the numbers = 4x + 9x = 13x = 13 × 12 = 156
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