# Maths

posted by .

The digits of a three digit number are in AP&their sum is 15.The number obtained by reversing the digits is 594 less than the original number.Find the number?

• Maths -

the ap = a, a+d, a+2d, so

3a+3d = 15
a+d=5

so, the number is 159 or 258 or 357
reversed, it is either 951 or 852 or 753

Looks like original is 852 - 258 = 594.

## Similar Questions

These are extra credit questions, and I just want to know how to solve them. 1) The sum of two-digits of a two digit number is 14. If the number represented by reversing the digits is subtracted from the original number, the result …
2. ### math

(b) the digits of a positive integer having three digits are in A.P and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number. (c) if a,b,c are in A.P, prove that (i) (ab)^-1, …
3. ### math

(b) the digits of a positive integer having three digits are in A.P and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number. (c) if a,b,c are in A.P, prove that (i) (ab)^-1, …
4. ### algebra

A number consists of two digits. The sum of twice the tens digit an 5 times the units digit is 19. If the digits are reversed, the new number is 54 less than the original number. Find the number
5. ### algebra

The sum of the digits of a two-digit number is eleven. If the digits are reversed, the new number is sixty-three less than the original number. Find the original number. Help?
6. ### Math - Algebra

What is the linear equation that will represent the second statement in the following problem: "The sum of the digits of a three-digit number is 12. If the hundreds digit is replaced by the tens digit, the tens digit by the units digit, …
7. ### math

the sum of the digits in a three-digit number is 16.the ones digit is three times the hundreds digit.if the digits of the number are reversed ,the new number is 594 more than the original .what is the original number?
8. ### Math

The sum of the digits of a two-digit number is 14. The number formed by reversing the digits is 36 more than the original number. What is the original number?
9. ### Maths

The sum of the digits of a two digit number is 13.The number obtained by interchanging the digits of the given number exceeds that number by 27.Find the number.
10. ### Math

sum of the digits of a three-digit number is 20. If the hundreds and unit digits were interchanged, the resulting number is 297 less than the original. Find the number if the hundreds digit exceeds the tens digit by one.

More Similar Questions