Question

Jane is 3 years older than her brother Sean. In 14 years, the sum of their ages will be 63 years. How old is Jane now?
15 years
16 years
19 years
30 years
33 years​

Answer 1

Answer:

33 years as her sister will be 3 years younger so she is 30 and 30 +33=63

Answer 2

Answer:

Jane is 19 years old now.

Step-by-step-explanation:

Let the present age of Jane be x years.

∴ Sean's present age = ( x - 3 ) years

Now,

After 14 years,

Age of Jane = ( x + 14 ) years

Age of Sean = ( x - 3 + 14 ) = ( x + 11 ) years

From the given condition,

After 14 years, sum of their ages will be 63 years.

∴ ( x + 14 ) + ( x + 11 ) = 63

⇒ x + 14 + x + 11 = 63

⇒ x + x + 14 + 11 = 63

⇒ 2x + 25 = 63

⇒ 2x = 63 - 25

⇒ 2x = 38

⇒ x = 38 ÷ 2

⇒ x = 19 years

∴ Jane is 19 years old now.