Answer:
Jack is 88, Priscilla is 75.
Step-by-step explanation:
Let J represent Jack's age and let P represent Priscilla's age.
Their age totaled 163, so:
[tex]J+P=163[/tex]
And we know that Jack was 13 years older than Priscilla. In other words:
[tex]J=13+P[/tex]
Solve for J and P. To do so, substitute the second equation into the first:
[tex]13+P+P=163[/tex]
Combine like terms:
[tex]2P+13=163[/tex]
Subtract 13 from both sides:
[tex]2P=150[/tex]
Divide 2 from both sides:
[tex]P=75[/tex]
So, Priscilla is 75 years old right now.
Jack is 13 years older meaning that Jack is 88 years right now.
And we're done!
