Question

The some of 2 number is135 and there hcf is 27 .If there lcm is 162 then find the number​

Answer 1

✰✰|| Given ||✰✰

• HCF of number = 27

• LCM of number = 162

• Sum of number = 135

✰✰|| To Find ||✰✰

• numbers

✪|| Solution ||✪

Let, the no. be 27x and 27y

Sum of two number = 135

⇒ 27x + 27y = 135

⇒ 27 ( x + y ) = 135

⇒ x + y = 135/27

⇒ x + y = 5

Possible no. in form of x + y = 1 + 4, 2 + 3

Possible no. in form of 27x + 27y = 27 + 108, 54 + 81

Check which is no.

LCM of 27 and 108 = 162

→ 108 ≠ 162

LCM of 27 and 108 is not equal to 162. So, 27 and 108 is number

LCM of 54 and 81 = 162

162 = 162

LCM of 54 and 81 is equal to 162. So, 54 and 81 is number

Your answer = 54 and 81