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ATQ,
Let the LCM and the HCF of the two numbers be 'a' and 'b', respectively
We have, (a + b) = 370 and (a - b) = 354
So, a + b + (a - b) = 370 + 354
Or, 2a = 724
Or, a = 724 ÷ 2 = 362
So, b = 370 - 362 = 8
We know that product of the two numbers is equal to the product of their LCM and HCF
Let the two numbers be 'x' and 'y' where x = 59
So, 362 × 8 = 59y
So, y = (362 × 8) ÷ 59 = 49
So, the other number is 49
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