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The sum of digits of a …

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The sum of digits of a two-digit number is 15 if the number formed by reversing the digit is less than the original number by 27 find the original number
  • 2 answers

Ayush Gupta 6 years, 6 months ago

Two digit number be 10 × 6 + 9 = 60 + 9 = 69

Ayush Gupta 6 years, 6 months ago

Let once digit number be x Let tens digit number be y So the number be 10y + x -------------------- ( 1 ) A.T.Q On reversing the number be 10x + y 10x + y +27 = 10y + x 10x + y - 10y - x = 27 9x - 9y = 27 9 ( x - y ) = 9 × 3 x - y = 9 × 3 ÷9 x - y = 3 ------------------- ( 2 ) x + y = 15 -------------------- ( 3 ) ( 2 ) + ( 3 ) x - y + x + y = 3 + 15 2x = 18 x = 18 ÷ 2 x = 9 x + y = 15 9 + y = 15 y = 15 - 9 y = 6 Two-digit nu
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