Question

Sum of 2 no is 135 their HCF is 27 their LCM is 162 find the no

Answer 1

Answer:

let one be x

another be y

x+y = 135

HCF × LCM = xy

(x+y)² = 135²

x²+y²+2xy = 18225

x²+y² + 8748 = 18225

x²+y² = 9477

(x-y)²

x²+y²-2xy = (x-y)²

9477 - 8748 = (x-y)²

729 = (x-y)²

x-y = 27

x = 81

y = 54