Math, asked by moodshariqsayeed, 9 days ago

Find the l cm the product of two numbers is 300 hcf is 5​

Answers

Answered by gunnalaswapna
0

Answer:

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

Answered by triorganization77
0

Step-by-step explanation:

lcm * hcf = product of numbers

lcm * 5= 300

lcm = 300/5=60

LCM = 60

Similar questions