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CBSE Class 10 Answered

a two digit no is such that the product of its digits is 18.When 63 is subtracted from the no ,the digits interchange theirplaces .Find the no.
Asked by snisarulhaq | 28 Dec, 2017, 02:02: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space two space digit space number space be space 10 straight u plus straight v. uv equals 18.......... left parenthesis 1 right parenthesis 10 straight u plus straight v minus 63 equals 10 straight v plus straight u 9 straight u minus 9 straight v equals 63 straight u minus straight v equals 7......... left parenthesis 2 right parenthesis From space left parenthesis 1 right parenthesis straight u equals 18 over straight v straight u minus straight v equals 7 18 over straight v minus straight v equals 7 18 minus straight v squared equals 7 straight v straight v squared plus 7 straight v minus 18 equals 0 Solving space you space get space straight v equals negative 9 space or space 2 As space digit space is space always space positive space straight v equals 2 straight u minus straight v equals 7 straight u minus 2 equals 8 straight u equals 9 Hence comma space the space number space is space 92. end style
Answered by Sneha shidid | 28 Dec, 2017, 02:16: PM

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