HCF and LCM of two positive numbers are 24 and 144. If one number is 50% more than the other number, then find the sum of both numbers
ATQ, Let one number is ‘a’ So, another number = 1.50 × a = ‘1.5a’ As we know, Product of two numbers = HCF × LCM Or, (a × 1.5a) = 24 × 144 Or, 1.5a² = 24 × 144 Or, a² = 2304 So, a = √2304 = 48 Hence, another number = 1.5a = (1.5 × 48) = 72 Therefore, sum of both numbers = (48 + 72) = 120
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