top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration Why to Join

    Get Free Puzzle Updates

Facebook Login
Site Registration

A number consists of 3 digits whose sum is 10. The middle digit is equal...............What is the square of the number?

0 votes

A number consists of 3 digits whose sum is 10.
The middle digit is equal to the difference of the other two and the number will be increased by 99 if its digits are reversed.
What is the square of the number?

posted Jan 17, 2019 by Divya Bharti

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

2 Answers

0 votes


xyz- is the number and we have:
x+y+z=10 ---->(1)
y=z-x ---->(2)
100x+10y+z+99=100z+10y+x ---->(3)

(3) => 99z-99x=99 => z-x=1 => z=x+1
(2) => y=z-x=x+1-x=1
(1) => x+y+z=x+1+(x+1)=10 => x=4 => z=5

answer Jan 17, 2019 by Hanifa Mammadov
0 votes

514 is the number

5+1+4 = 10
5-1 =4
514 - 415 = 99

answer Jan 29, 2019 by anonymous

Similar Puzzles
0 votes

I'm thinking of a number.

  • It is a two-digit positive integer.
  • The sum of its digits is 10.
  • Subtracting 72 from the number swaps its two digits.

What is the number?

0 votes

The year 1978 is such that the sum of the first two digits and the latter two digits is equal to the middle two digits, i.e. 19 + 78 = 97. What is the next year (after 1978) for which this is true?

+1 vote

The sum of the digits of a three digit number is 12. If the hundreds digit is 3 times the tens digit and the tens digit is 1/2 the units digit, what is the tens digit of the number?

Contact Us
+91 9880187415
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Karnataka INDIA.