Question 444826
1) Name your variables
Cole's grandfather: x
Cole's dad: {{{1/2}}} age of grandfather (x) : {{{(1/2)x}}}
2) Plug your varibles into the equation
Cole's dad's age + Cole's grandfather's age = 96
{{{(1/2)x + x = 96}}}
3) Solve for x:
{{{(1/2)x + x = 96}}}
{{{x/2 + x = 96}}}
Multiply EVERYTHING by 2 to clear the fraction: {{{x + 2x = 192}}}
{{{3x = 192}}}
Divide EVERYTHING by 3 to isolate x: {{{x = 64}}}
Therefore, Cole's grandfather must be 64 years old.
4) If Cole's dad's age is {{{(1/2)x}}} and x (Cole's grandfather's age) is 64, then Cole's dad's age is {{{(1/2)(64)}}}
{{{(1/2)(64)}}} = 32 <== Cole's dad's age
=
Therefore, Cole's dad's age is 32 and Cole's grandfather's age is 64.