Question

1-60. Define a variable and then write and solve an equation for the problem below. Remember that you can
use the 5-D Process (described in the Lesson 1.1.3 Math Notes box) to help you get started. State your
solution in a sentence.
Todd is 10 years older than Jamal. The sum of their ages is 64. How old are Todd and Jamal?
Describe/Draw Define
Decide
Declare
Do

Answer 1

5D process?  Gimme a break.

We'll skip the first box; the description of the problem is pretty self explanatory.

Define t as Todd's age, j as Jamal's age.

The description tells us

t = 10 + j

t + j = 64

Do.  We solve by substituting for t in the second equation,

10 + j + j = 64

2j = 54

j = 27

t = 10 + j = 37

Decide.  Not sure what I'm supposed to decide here; I decided I'm done.  Maybe this is where we check it.

37 = 10 + 27, good on that

27 + 37 = 64, good on that

Declare:

Jamal's age is 27 and Todd's age is 37.