Subject
Quantitative Aptitude
Topic
Algebra
The sum of three digits in a number is 17, the sum of square of the digits is 109. If we subtract 495 from the number, the number is reversed. Find the number.
The sum of three digits in a number is 17, the sum of square of the digits is 109. If we subtract 495 from the number, the number is reversed. Find the number.
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863খ)
953গ)
872ঘ)
854ঙ)
683Explanation
Let the number is XYZ Let the unit Digit of the No. be Z Let the Tens Digit of the No. be Y Let the Hundreds Digit of The No. be X Sum of numbers is 17 ⇒ X + Y + Z = 17 …… (Eq.1) Sum of squares of digits is 109 ⇒ X 2 + Y 2 + Z 2 = 109 …….. (Eq.2) ⇒ 100X + 10Y + Z – 495 = 100Z + 10Y + X ⇒ 99X – 99Z = 495 ⇒ X – Z = 5 Since number is positive all possible combinations of X and Z are (6, 1), (7, 2), (8, 3), (9, 4) Of these four combinations only (8, 3) gives acceptable solution for Y using Eq.1 and Eq.2 ⇒ Y = 6 The number is 863Related questions
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