Question

What's is jiri's age ?
Pamela is 5 years younger than jiri. The sum of their ages is 37

Answer 1

If Jiri is x, Pamela is x -5, and tehri ages combined would be 35 so;
x + x-5 = 35
collect the like terms
2x-5 = 35
add five to both sides
2x= 40
divide both sides by 2
x=20
Jiri's age is 20

Answer 2

Since Pamela is 5 years younger than Jiri, Jiri is 21 years old.

In order to write a system of linear equations to describe this situation, we would assign variables to their ages, and then translate the word problem into an algebraic equation as follows:

• Let the variable P represent Pamela's age.
• Let the variable J represent Jiri's age.

Since Pamela is 5 years younger than Jiri, a linear equations to model the situation can be written as follows;

P = J - 5

Additionally, the sum of their ages is 37;

P + J = 37

By solving the system of equations simultaneously using the substitution method, we have;

J - 5 + J = 37

2J = 42

J = 42/2

J = 21 years.

For the age of Pamela, we have;

P = J - 5

P = 21 - 5

P = 16 years.