A) The age of Theresa is 10 years 6 months old
B) Jonathan age is 24 years and 6 months old
<u>Solution:</u>
Given, Theresa is 14 years younger than her brother Jonathan.
Let the age of Theresa be "n" years
Then the age of Jonathan will be "n + 14" years
Together, their total age in years is 35
<em><u>A) Finding age of Theresa:</u></em>
Jonathan age + Theresa age = 35
n + 14 + n = 35
2n + 14 = 35
2n = 35 - 14
2n = 21
n = 10.5
So, age of Theresa is 10 years 6 months
<em><u>B) Finding age of Jonathan</u></em>
Now, we know that n = 10.5
Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years
So, Jonathan is 24 years and 6 months old