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CBSE Class 8 Answered

 the sum of the gidit of two number is 9.the number obtain by reversing the digit is 9 less than the original number . find the original number
Asked by mahesh_531 | 27 Feb, 2018, 07:01: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight y space be space in space the space unit space place space and space straight x space be space in space the space 10 apostrophe straight s space place. Number space is space 10 straight x plus straight y. Sum space of space digits space is space 9. straight x plus straight y equals 9............. left parenthesis straight i right parenthesis Interchanging space digits space number space will space be space 10 straight x plus straight y 9 left parenthesis 10 straight x plus straight y right parenthesis equals 2 left parenthesis 10 straight y plus straight x right parenthesis rightwards double arrow 88 straight x minus 11 straight y equals 0......... left parenthesis ii right parenthesis Solving space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis we space get space straight x equals 1 space and space straight y equals 8 Original space number space is space 18. end style
Answered by Sneha shidid | 28 Feb, 2018, 09:44: AM

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