Try this beautiful Positive Integer Problem from Algebra from 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
Algebra
Equation
multiplication
Answer:
PRMO-2017, Problem 1
Pre College Mathematics
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)
=
Try this beautiful Positive Integer Problem from Algebra from 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
Algebra
Equation
multiplication
Answer:
PRMO-2017, Problem 1
Pre College Mathematics
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)
=