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

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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

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

514 is the number

5+1+4 = 10
5-1 =4
514 - 415 = 99 answer Jan 29, 2019 by anonymous

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