top button
Flag Notify
    Connect to us
      Site Registration

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
255 views

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

172225


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


(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
xyz=415
xyz^2=415^2=172225

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

A number consists of four different digits where last digit is two times the first digit, second digit is two times the last digit and third digit at tens place is 3 less than the second digit.
What is the difference of this four digit number and number formed by reversing its digit?

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?

...