Question

*Find two 2-digit numbers which have GCD = 6 and product = 2880:​

Answer 1

SOLUTION

TO DETERMINE

Two digit numbers which have gcd=6 and product=2880

EVALUATION

Here it is given that gcd of the numbers = 6

Let the numbers are 6m and 6n

So by the given condition

6m×6n=2880

⟹36mn=2880

⟹mn=80

Since all the numbers to be determined are two digit numbers

So,

m = 5 , n = 16

m = 8 , n = 10

m = 10 , n = 8

m = 16 , n = 5

So the required two digit numbers are

30 , 96

48 , 60