Question 825751
{{{x}}}= the smaller number
{{{x+35}}}= the bigger number
{{{(x+35)/2}}}= one-half of the bigger number
 
{{{x+(x+35)/2=52}}}
Multiplying both sides times 2 we get
{{{2x+2(x+35)/2=2*52}}}
{{{2x+cross(2)(x+35)/cross(2)=104}}}
{{{2x+x+35=104}}}
{{{3x+35=104}}}
{{{3x=104-35}}}
{{{3x=69}}}
{{{x=69/3}}}
{{{highlight(x=23)}}} is the smaller number and
{{{x+35=23+35=highlight(58)}}} is the bigger number.
 
Verification:
{{{23+58/2=23+29=52}}}