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# Sum of two digit numbers | PRMO-2016 | Problem 7

Try this beautiful problem from Algebra based on Sum of two digit numbers from PRMO 2016.

## Sum of two digit numbers | PRMO | Problem 7

Let s(n) and p(n) denote the sum of all digits of n and the products of all the digits of n(when written in decimal form),respectively.Find the sum of all two digits natural numbers n such that

### Key Concepts

Algebra

number system

PRMO-2016, Problem 7

Pre College Mathematics

## Try with Hints

Let is a number of two digits ,ten's place and unit place is .so .given that = sum of all digits and =product of all digits=

now the given condition is

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

From condition we have,

and the value of be any digit....

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

Therefore all two digits numbers are and sum=

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Try this beautiful problem from Algebra based on Sum of two digit numbers from PRMO 2016.

## Sum of two digit numbers | PRMO | Problem 7

Let s(n) and p(n) denote the sum of all digits of n and the products of all the digits of n(when written in decimal form),respectively.Find the sum of all two digits natural numbers n such that

### Key Concepts

Algebra

number system

PRMO-2016, Problem 7

Pre College Mathematics

## Try with Hints

Let is a number of two digits ,ten's place and unit place is .so .given that = sum of all digits and =product of all digits=

now the given condition is

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

From condition we have,

and the value of be any digit....

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

Therefore all two digits numbers are and sum=

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