Question

Chuck's age is five years less than twice Larry's age. If Chuck's age is 150% of Larry's age, then what is Larry's age, in years?A. 6B. 8C. 10D. 15

Answer 1

Larry's age is 10 years

Step-by-step explanation:

Let Chuck's age be c

Let Larry's age be L

Chuck's age is five years less than twice Larry's age

Mathematically:

`c\text{ = 2l-5}`

Chuck's age is 150% of Larry's age

What this mean is that Chuck's age is 1.5 times multiplied by Larry's age

Mathematically, we have this as:

`c\text{ = 1.5l}`

Now, we can proceed to equate the two equations as follows:

`\begin{gathered} 2l-5\text{ = 1.5l} \\ 2l-1.5l\text{ = 5} \\ 0.5l\text{ = 5} \\ l\text{ = }(5)/(0.5) \\ l\text{ = 10 } \end{gathered}`