Question

The product of 2 two digit nos is 300 and their HCF is 5. What are the nos?

Answer 1

Given,

• The product of 2 two-digit nos is 300
• Their HCF is 5

To find,

The value of numbers

Solution,

Let us assume the two numbers as x and y

We know that,

LCM X HCF = product of the two numbers.

So,

LCM X HCF = x * y

or, LCM * 5 = x * y

or, LCM * 5 = 300

or, LCM = 300/5

or, LCM = 60

Since the two numbers are of 2 digits each.

The options could be 10,30 and 15,20

10,30 has HCF 10 so it could not be the answer.

The two numbers could be 15 and 20

Only this option can have HCF 5 and LCM 60.

Hence, the two numbers are 15 and 20