Pamela is 11 years younger than Jiri. The sum of their ages is 47 . What is Jiri's age?

Answer 1

Let P = Pamela's age.

Let J = Jiri's age.

P = J - 11

P+J = 47

(J-11) + J = 47

2J - 11 = 47

Add 11 to both sides of the equation:

2J = 58

Divide both sides by 2:

J = 29

To check:

P = J - 11 = 29 - 11 = 18

P+J = 29 + 18 = 47

Answer 2

1) P + J = 47 This is because their two ages add up to 47

2) P = J - 11 This is because P is 11 years younger than J

Stick the second equation into the first one.

J - 11 + J = 47

2J = 47 + 11

2J = 58

J = 29

You can check this through logic. Isn't the age 29 a total of 11 years older than 18? Yes. Also, don't 29 and 18 add up to 47? They do right? Always try to think through the problems using logic along with the algebra.