Thomas jefferson was born 11 years after george washington. in 1772, washington's age was 5 years more than 7 times the age of jefferson in the year of 1748. what was the age of each man in 1748, 1776, and 1787

Step-by-step explanation:

Let W and J represent Washington's and Jefferson's ages in 1748.

  J + 11 = W . . . . . Washington is 11 years older than Jefferson

W+24 is Washington's age in 1772:

  W+24 = 5 +7J . . . . in 1772, Washington's age was 5 more than 7×J's in 1748

Substituting for W, we get ...

  J + 11 + 24 = 5 + 7J

  30 = 6J . . . . . . . . . . . subtract J+5, collect terms

  5 = J

In 1748, Jefferson was 5; Washington was 16.

24 years later in 1772, Jefferson was 29; Washington was 40.

4 years later in 1776, Jefferson was 33; Washington was 44.

11 years later in 1787, Jefferson was 44; Washington was 55.

Check

In 1772, Washington was 40, which is 5 more than 7 times 5 (Jefferson's age in 1748).