Correct Answer - Option 3 : 4
Given:
Numbers are 225 and 147
Concept used:
If two numbers are divided by their difference or factor of difference, leaves same remainder
Calculation:
Given numbers are 225 and 147
Difference of the numbers = 225 – 147 = 78
Calculation of factors of 78:
⇒ 1 × 78 = 78
⇒ 2 × 39 = 78
⇒ 3 × 26 = 78
⇒ 6 × 13 = 78
Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Only two digit factors are = 13, 26, 39, 78
∴ Only 4 numbers are possible.