Question 1133070


Let {{{xy}}} be the number.  

{{{x}}} is the tens digit, {{{y}}} is the units digit

  The ratio of the units digit to the tens digit, {{{y/x}}}, is{{{ 1/2}}}.  This gives us the proportion

{{{y/x = 1/2}}}

The tens digit is {{{2 }}}more than the units digit; 

{{{x = y+2}}} substituting in our proportion we have

{{{y/(y+2) = 1/2}}}

Cross multiply:

{{{y*2 = (y+2)*1}}}

{{{2y = y+2}}}

Subtract {{{y}}} from each side:

{{{2y - y = y+2-y}}}

{{{y = 2}}}

then

{{{x = y+2}}}

{{{x = 2+2}}}

{{{x =4}}}

so, your two digit number is:

{{{xy = 42 }}}