Question
The sum of the HCF and LCM of two numbers is 544, and the
LCM is 16 times the HCF. If one number is 34, find the other. (find the approximate value)Solution
ATQ,
Let HCF = x
Then LCM = 16x
x + 16x = 544
⇒ 17x = 544
⇒ x = 32
Now,
34 × y = 32 × 16 × 32 = 16384
⇒ y = 16384 ÷ 34 = 481.88 or approximate 482
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