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ICSE Class 8 Answered

the sum of the digits of a 2-digit number is 7.if the digits are reversed, the new number is incresed by 3 less than 4 times the original number. find the original number      
Asked by khare.shubhangi | 19 Feb, 2018, 01:20: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space digit space at space unit apostrophe straight s space place space be space straight x space and space digit space at space ten apostrophe straight s space place space be space straight y. Then comma space original space number equals 10 straight x plus straight y Sum space of space digits equals 7 rightwards double arrow straight x plus straight y equals 7 space space space space space space space..... left parenthesis 1 right parenthesis Also comma space 10 straight y plus straight x equals 4 left parenthesis 10 straight x plus straight y right parenthesis minus 3 rightwards double arrow 10 straight y plus straight x equals 40 straight x plus 4 straight y minus 3 rightwards double arrow 39 straight x minus 6 straight y equals 3 rightwards double arrow 13 straight x minus 2 straight y equals 1 space space space space space space.... left parenthesis 2 right parenthesis Multiplying space equation space left parenthesis 1 right parenthesis space by space 2 comma space we space get 2 straight x plus 2 straight y equals 14 space space space space space space..... left parenthesis 3 right parenthesis Adding space equations space left parenthesis 2 right parenthesis space and space left parenthesis 3 right parenthesis comma 15 straight x equals 15 rightwards double arrow straight x equals 1 rightwards double arrow straight y equals 6 Hence comma space the space original space number equals 10 straight x plus straight y equals 10 left parenthesis 1 right parenthesis plus 6 equals 16 end style
Answered by Rashmi Khot | 19 Feb, 2018, 02:10: PM

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the sum of the digits of a 2-digit number is 7.if the digits are reversed, the new number is incresed by 3 less than 4 times the original number. find the original number      
Asked by khare.shubhangi | 19 Feb, 2018, 01:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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