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.
Step 1 :Let the father's age be F and the son's age be S. We have two equations:
Step 2 :
Step 3 :
Step 4 :Solve the system of equations:
Step 5 :Substitute the first equation into the second equation:
Step 6 :
Step 7 :Simplify the equation:
Step 8 :
Step 9 :Isolate S:
Step 10 :
Step 11 :Substitute the value of S back into the first equation:
Step 12 :
Step 13 :
Step 14 :