Question
The sum of HCF and LCM of two numbers is 450. If the LCM
is 14 times the HCF, and one number is 42, what is the second number?Solution
ATQ,
Let HCF = x
LCM = 14x
x + 14x = 450
⇒ 15x = 450
⇒ x = 30
Now,
42 × y = 30 × 14 × 30
⇒ 42y = 12600
⇒ y = 12600 ÷ 42 = 300
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