Question 956947
M=man's age; S=son's age
M=3S
{{{(M-10)^2+(S-10)^2=1250}}} Substitute for M
{{{(3S-10)^2+(S-10)^2=1250}}}
{{{9S^2-60S+100+S^2-20S+100=1250}}}
{{{10S^2-80S+200=1250}}} Subtract 1250 from each side.
{{{10S^2-80S-1050=0}}}*[invoke quadratic "S", 10, -80, -1050 ]
S=15 ANSWER The son is 15 years old.
M=3S=3(15yrs)=45yrs ANSWER 2: The man is 45 years old.
CHECK:
{{{(M-10)^2+(S-10)^2=1250}}}
{{{(45-10)^2+(15-10)^2=1250}}}
{{{35^2+5^2=1250}}}
{{{1225+25=1250}}}
{{{1250=1250}}}