Question

A number when divided by 987 gives remainder 59 when the same number is divided by 21 what is the reminder

Answer 1

The remainder = 17

Given :

A number when divided by 987 gives remainder 59

To find :

The remainder when the same number is divided by 21

Solution :

Step 1 of 2 :

Find the general form of the number

The number when divided by 987 gives remainder 59

Let quotient = n

Divisor = 987 , Remainder = 59

Dividend = (Divisor × Quotient) + Remainder

⇒ Dividend = (987 × n) + 59

⇒ Dividend = 987n + 59

So the number is of the form 987n + 59

Step 2 of 2 :

Find the required remainder

987n + 59

= 21(47n + 2) + 17

Now 21(47n + 2) is completely divisible by 21

Hence the required remainder = 17

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