LCM of two numbers is 28 times their HCF. The sum of the HCF and the LCM is 1740. If one of these numbers is 240, then what is the other number?

Explanation

Given L = 28H and H + L = 1740. So, 29H = 1740 \Rightarrow H = 60. Then L = 28 \times 60 = 1680. Using the formula \text{Product of numbers} = H \times L, we get 240 \times x = 60 \times 1680 \Rightarrow x = \frac{100800}{240} = 420.

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