Question 1105528
S-son's age
Y-your age
G-grandson's age
.
.
1.{{{S=Y-24}}}"son is 24 years younger than I"
2.{{{S=35+G}}}"son is 35 years older than my grandson"
3.{{{G+S+Y=100}}}"together our total ages add up to 100"
From 1,
{{{Y=S+24}}}
From 2.
{{{G=S-35}}}
Substitute both of these into 3,
{{{(S-35)+S+(S+24)=100}}}
{{{3S=111}}}
{{{S=111/3}}}
Solve for {{{S}}} then use the equations to solve for {{{G}}} and {{{Y}}}.