Question

Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages become equal. What are their present ages?

Answer 1

Cassandra is 32, and Seymour is 64

Explanation:

Answer 2

`\text{The present age of Cassandra=x=32 yrs}`

`\text}{The present age of Seymour=2x=2* 32=64 yrs}`

Explanation:

Given that Seymour is twice as old as Cassandra. If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages become equal.

We have to find their present ages.

Let the present age of Cassandra=x yrs

As Seymour is twice as old as Cassandra

∴ the present age of Seymour=2x yrs

According to question, if 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages become equal.

⇒
`x+16=2x-16`

`2x-x=16+16`

`x=32 yrs`

`\text{The present age of Cassandra=x=32 yrs}`

`\text}{The present age of Seymour=2x=2* 32=64 yrs}`