Question

If the sum of lcm and hcf of two numbers is 1260 and their lcm is 9 more than their hcf,find the product of the two numbers

Answer 1

Answer:

$let \: hcf \: be \: x \: \\ so \: lcm \: be \: 9 x \\ x + 9 x = 1260 \\ 10x = 1260 \\ x = 126 \\ so \: hcf \: is \: 126 \: and \: lcm \: is \: 9 \times 126 \leqslan = \: 1134$

now lcm X HCF = product of 2 no.s

1134× 126 = 142884