Answer:
Jane is 12 years old and Harvey's is 36 years old .
Step-by-step explanation:
Given :
Jane is years old.
Harvey is years old.
Harvey is 3 times as old as Jane.
The sum of their ages is 48 years.
To find : The ages of Harvey and Jane.
Solution :
Jane 's age :
Harvey 's age:
Since we are given that sum of their ages is 48 years
⇒ ----(A)
We are also given that Harvey is 3 times as old as Jane.
⇒ --- (B)
Solving (A) and (B) using substitution method
Substitute value of from (B) in (A) :
⇒
⇒
⇒
⇒
Thus , Jane 's age is 12 years .
Substitute this value in (B) to find Harvey,s age :
⇒
⇒
Thus, Harvey,s age is 36 years .
Hence Jane is 12 years old and Harvey's is 36 years old .