James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3. Write an equation that can
be used to solve for Zach's age in the box below, use Z as the variable.
1 answer:
Answer:
The equation is 3x + 24 = 6x
Step-by-step explanation:
Let
Zach's age = x
If Zach added 8 to his age and multiplied this sum by 3.
Zach = 3(x + 8)
= 3x + 24
James = 6x
Zach's age = James's age
3x + 24 = 6x
Collect like terms
24 = 6x - 3x
24 = 3x
Divide both sides by 3
x = 24/3
= 8
x = 8
Check
Zach = 3(x + 8)
= 3(8+8)
= 3(16)
= 48 years
James = 6x
= 6(8)
= 48 years
The equation is 3x + 24 = 6x
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