the product of x,y is 300 and HCF is 5 then find LCM of x,y
Answers
Step-by-step explanation:
the LCM is 60
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Answer:
Given that HCF of 2 numbers is 5 The numbers may like 5x and 5y Also given their product = 300 5x × 5y = 300 ⇒ 25xy = 300 ⇒ xy = 300/25 ⇒ xy = 12 The possible values of x and y be (1, 12) (2, 6) (3, 4) The numbers will be (5x, 5y) ⇒ (5 × 1, 5 × 12) = (5, 60) ⇒ (5 × 2, 5 × 6) = (10, 30) ⇒ (5 × 3, 5 × 4) = (15, 20) (5, 60) is impossible because the given the numbers are two digit numbers. The remaining numbers are (10, 30) and (15, 20) But given that HCF is 5 (10, 30) is impossible, because its HCF = 10 The numbers are 15, 20Read more on Sarthaks.com - https://www.sarthaks.com/1020173/the-product-of-2-two-digit-numbers-is-300-and-their-hcf-is-5-what-are-the-numbers?show=1020174#a1020174