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# Positive Integer | PRMO-2017 | Question 1

Try this beautiful Positive Integer Problem from Algebra from PRMO 2017, Question 1.

## Positive Integer - PRMO 2017, Question 1

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by

### Key Concepts

Algebra

Equation

multiplication

PRMO-2017, Problem 1

Pre College Mathematics

## Try with Hints

Let be the positive integer less than 1000 and be the sum of its digits, then and

therefore

Can you now finish the problem ..........

Also
therefore
Clearly, n must be a 3 digit number Let be the digits, then
where

Can you finish the problem........

For the equation (1) has solutions
therefore total possible solution of equation (1)

=

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Try this beautiful Positive Integer Problem from Algebra from PRMO 2017, Question 1.

## Positive Integer - PRMO 2017, Question 1

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by

### Key Concepts

Algebra

Equation

multiplication

PRMO-2017, Problem 1

Pre College Mathematics

## Try with Hints

Let be the positive integer less than 1000 and be the sum of its digits, then and

therefore

Can you now finish the problem ..........

Also
therefore
Clearly, n must be a 3 digit number Let be the digits, then
where

Can you finish the problem........

For the equation (1) has solutions
therefore total possible solution of equation (1)

=

## Subscribe to Cheenta at Youtube

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