Question
4 years back, the combined age of 'Arvind' and 'Chirag'
was 9 years lower than the current total age of 'Arvind' and 'Bishma'. Seven years from now, the age total of 'Bishma' and 'Chirag' will be 63 years. What is 'Chirag's' current age?Solution
ATQ, Seven years hence from now, the sum of ages of 'Bishma' and 'Chirag' will be 63 years. So, sum of present age of 'Bishma' and 'Chirag' = 63 - (2 × 7) = 49 years Let present age of 'Chirag' be 'p' years. So, present age of 'Bishma' = (49 - p) years Let the sum of present ages of 'Arvind' and 'Bishma' be 'q' years. So, the present age of 'Arvind' = q - (49 - p) = (q + p - 49) years Four years ago from now, sum of ages of 'Arvind' and 'Chirag' was 9 years less than the sum of present ages of 'Arvind' and 'Bishma'. So, ATQ; (q + p - 49 - 4) + (p - 4) + 9 = q Or, q + 2p - 48 = q Or, 2p = 48 So, p = (48/2) = 24 So the present age of 'Chirag' = p = 24 years
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