Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 42479 by mondodotto@gmail.com last updated on 26/Aug/18

$$\mathbf{two}\mathbf{digit}\mathbf{number}\mathbf{is}\mathbf{seven}\mathbf{times}$$$$\mathbf{the}\mathbf{sum}\mathbf{of}\mathbf{its}\mathbf{digits}.\mathbf{if}27\mathbf{is}\mathbf{substracted}$$$$\mathbf{from}\mathbf{the}\mathbf{number}\mathbf{its}\mathbf{digits}\mathbf{get}\mathbf{interchanged}.$$$$\mathbf{find}\mathbf{the}\mathbf{number}$$$$$$

Answered by $@ty@m last updated on 26/Aug/18

$$10y+x=7(x+y)\Rightarrow y=2x...\left(1\right)$$$$10y+x=10x+y+27$$$$9y=9x+27$$$$\Rightarrow y=x+3...\left(2\right)$$$$From\left(1\right)\mathrm{\&}\left(2\right)$$$$2x=x+3\Rightarrow x=3$$$$\Rightarrow y=6$$$$\therefore theno.is63$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com