Q3 of 54 Page 77

Subhash is 3 years older than his brother Suresh. 6 years ago Subhash's age was four times the age of Suresh. Find their present ages.

Let Subhash’s age be x and his brother Suresh’s age be y.

According to question


x = y + 3 ……(1)


6 years ago, age of Subhash = x – 6 and age of Suresh = y – 6


x – 6 = 4 (y – 6)


x – 6 = 4y – 24


x – 4y = – 24 + 6


x – 4y = – 18


From (1) put value of x as y + 3


y + 3 – 4y = – 18


– 4y + y = – 18 – 3


– 3y = – 21



y = 7


Put y = 7 in equation (1)


x = 7 + 3


x = 10


∴ Subhash’s age is 10 years and Suresh’s age is 7 years.


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