Jake’s dad is 6 more than 3 times jake’s age. The sum of their age is 42 . Find their ages
Mathematics · Middle School · Sun Jan 24 2021
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Given the statement:
Jake’s dad is 6 more than 3 times jake’s age. The sum of their age is 42.
Find their ages.
Solution:
Let x = Jake's age
3x + 6 = Age of Jake's dad
The given can be represented in an equation whereas we add the representation for Jake's age and the age of his dad and equate it with a sum of 42.
x + (3x + 6) = 42
Combine like terms.
x + 3x + 6 =42
4x + 6 = 42
Transpose 6 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
4x = 42 - 6
4x = 36
Divide both sides by 4 in order to cancel out 4x.
4x/4 = 36/4
x = 9
Jake's age = 9
Age of Jake's Dad:
= 3(9) + 6
= 27 + 6
= 33
Final answer:
Jake's age = 9
Age of Jake's Dad = 33