Question 1187418
<br>
Define some variables...<br>
Let x = Olive's current age
Let y = Polly's current age<br>
... and translate each given piece of information directly into an algebraic equation.<br>
Four times Polly’s present age is 4 more than eight times Olive’s age 2 years ago.<br>
Polly's present age is y; Olive's age 2 years ago was x-2:
{{{4y=8(x-2)+4}}}
{{{4y=8x-16+4}}}
{{{4y=8x-12}}}
{{{y=2x-3}}} [1]<br>
Three times Olive’s age is 3 more than twice what Polly’s age was 4 years ago.<br>
Olive's age now is x; Polly's age 4 years ago was y-4:
{{{3x=2(y-4)+3}}}
{{{3x=2y-8+3}}}
{{{3x=2y-5}}} [2]<br>
With the two equations [1] and [2] in those forms, a solution using substitution seems the way to go.  Substitute [1] in [2]:<br>
{{{3x = 2(2x-3)-5}}}<br>
I'll let you finish.  Solve that equation for x, then substitute the value of x in [1] to find y.<br>