Problem

3. (a) A father is 28 years older than the son. In 5 years the father's age will be 7 years more than twice that of the son. Find their present age.

Answer

Expert–verified
Hide Steps
Answer

The father's present age is 44 years old, and the son's present age is 16 years old.

Steps

Step 1 :Let the father's age be F and the son's age be S. We have two equations:

Step 2 :F=S+28

Step 3 :F+5=2(S+5)+7

Step 4 :Solve the system of equations:

Step 5 :Substitute the first equation into the second equation:

Step 6 :(S+28)+5=2(S+5)+7

Step 7 :Simplify the equation:

Step 8 :S+33=2S+17

Step 9 :Isolate S:

Step 10 :S=16

Step 11 :Substitute the value of S back into the first equation:

Step 12 :F=16+28

Step 13 :F=44

Step 14 :The father's present age is 44 years old, and the son's present age is 16 years old.

link_gpt