Question

Jack was 13 years older than Priscilla. together their ages totaled 163 years . What were their ages?

Answer 1

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:

$J+P=163$

And we know that Jack was 13 years older than Priscilla. In other words:

$J=13+P$

Solve for J and P. To do so, substitute the second equation into the first:

$13+P+P=163$

Combine like terms:

$2P+13=163$

Subtract 13 from both sides:

$2P=150$

Divide 2 from both sides:

$P=75$

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!