Question

A number when is divided by 899 gives a reminder 63 if the same no is divided by 29 the reminder was

Answer 1

Answer: 5

A number, when divided by 899 leaves remainder 63.

This number can be represented algebraically as 899x + 63, for any whole number x.

Now we have to find the remainder on dividing this number by 29.

$\mathsf{899x+63}\\ \\ \mathsf{899x+58+5}\\ \\ \mathsf{29 \cdot 31x+29 \cdot 2+5}\\ \\ \mathsf{29(31x+2)+5}$

On taking 31x + 2 as k, we get,

$\mathsf{29k+5}$

From this, we get that the number leaves remainder 5 on division by 29.

Thus the answer is 5.

We don't have to do these steps to find the answer!

If a number leaves remainder 63 on division by 899, then the number can be 63!! So divide 63 by 29 and find the remainder!! That's all!!!