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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

Sagot :

Answer:

Larry's age is 10 years

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:

[tex]c\text{ = 2l-5}[/tex]

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:

[tex]c\text{ = 1.5l}[/tex]

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

[tex]\begin{gathered} 2l-5\text{ = 1.5l} \\ 2l-1.5l\text{ = 5} \\ 0.5l\text{ = 5} \\ l\text{ = }\frac{5}{0.5} \\ l\text{ = 10 } \end{gathered}[/tex]