The sum of two numbers is 9.if 9 is added to the no. the digits get interchanged.What is the number
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let the tens place be x and once place be y<br />original no=10x+y<br />reversed no =10y++<br />acc. to question ,<br /> x+y=9 ------(1) | from (1) <br /> 9+10x+y=10y+x | x=9-y-----(3)<br /> => 9+10x-x+y-10y=0 | substituting (3) in(2)<br /> =9+9x-9y=0 | 9-y-y=-1<br /> =9 (x-y)=-9ยค | 9+1=2y<br /> x-y=-9/9 | 2y=10<br /> x-y= -1 ----(2) | y=5<br /> y=5 in (3)<br /> x=9-5=4<br />therefore the original number is 45
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