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Answer :
(a) Present age of father = 42 years
Present age of son = 14 years
Required ratio \(\frac{42}{14} = \frac{3}{1} = 3 : 1 \)
(b) The son was 12 years old 2 years ago. So the age of father 2 years ago will be
= 42 – 2 = 40 years
Required ratio = \(\frac{40}{12} = \frac{40÷4}{12÷4} = \frac{10}{3} = 10 : 3 \)
(c) After ten years age of father = 42 + 10 = 52 years
After 10 years age of son = 14 + 10 = 24 years
Required ratio = \(\frac{52}{24} = \frac{52÷4}{24÷4} = \frac{13}{6} = 13 : 6 \)
(d) 12 years ago, age of father was 30
At that time age of son = 14 – 12 = 2 years
Required ratio = \(\frac{30}{2} \) = 15 = 15 :1