Question

Mrs. Saada is between 50 and 80 years old. If you divide her age by 9, the remainder is 1. If you divide her age by 4, the remainder is 1. How old is Mrs. Saada?

Answer 1

Age of Mrs. Saada is: 73 years

Explanation:

Age of Mrs. Saada is between 50 and 80 years.

If age is divided by 9, remainder is 1 and

If age is divided by 4, remainder is 1.

First of all, let us have a look at the multiples of 9 between 50 and 90.

They are: 54, 63 and 72.

For having remainder one, the age can be: 54+1 = 55 OR 63+1 = 64 OR 72+1 = 73

Now, we can check by dividing 55, 64 and 73 for checking the remainder.

Remainder when 55 is divided by 4 = 3

Remainder when 64 is divided by 4 = 0

Remainder when 73 is divided by 4 = 1

So, the answer is:

Age of Mrs. Saada is: 73 years