in a two digit number, the tens digit is 5 greater than the units digit. The number is 63 greater than the sum of its digits. Find the number.

Question

in a two digit number, the tens digit is 5 greater than the units digit. The number is 63 greater than the sum of its digits. Find the number.

 

 

 

So i think i need to make two equations????

Answer 1

Let x= the ones digit

Then x+5=the tens digit

 

Hence the equation is

 

10(x+5)+x=x+5+x+63

10x+50+x=2x+68

11x+50=2x+68

 -2x-50  -2x-50

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        9x=18  Divide both sides of the equation by 9

          x=2

 

Hence the number is 10(2+5)+2=10(7)+2=70+2=72.