Question
The LCM of two numbers is 15 times their HCF. The sum
of HCF and LCM of these numbers is 352.If one of the numbers is 110, find the other number.Solution
Let HCF be x , then LCM = 15x It is given LCM +HCF = 352  x + 15x  = 352   ⇒ 16x  = 352   x = `352/16` = 22 HCF = 22 and LCM = 15x  = 15`xx` 22 = 330 Product of two numbers = Product of their HCF and LCM 110 `xx` other number = 22 `xx` 330  Other number = `(22xx330)/110` =  66
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