Question

When 43,55 and 67 are divided by a certain number, the remainder is 7 in each case. Find the number? ​

Answer 1

12

Explanation:

First subtract 7 from 43, 55 and 67

43 - 7 = 36 ; 55 - 7 = 48 ; 67 - 7 = 60

Now find the GCF of 36 , 48 , 60

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * *2*2 * 3

60 = 2 * 2 * 3 * 5

GCF = 2 * 2 * 3 = 12

The required number is 12

When you divide 43 by 12, the remainder is 7.

When you divide 55 by 12, the remainder is 7

When you divide 67 by 12, the remainder is 7