Question

The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is

Answer 1

✰✰|| Given ||✰✰

• LCM = 45 × HCF

• One number = 125

• Sum of LCM and HCF = 1150

✰✰|| To Find ||✰✰

• Other number

✪|| Solution ||✪

Let, the HCF be x

Sum of LCM and HCF = 1150

⇒ 45 × x + x = 1150

⇒ 45x + x = 1150

⇒ 46x = 1150

⇒ x = 1150/46

⇒ x = 25

Let, the other no. be y

LCM × HCF = product of no.

⇒ 45 × 25 × 25 = 125 × y

⇒ 2,825 = 125y

⇒ 2,825 = 125y

⇒ 2,825/125 = y

⇒ 225 = y

Other no. is 225