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 beco

Question

Rashid

1 month ago

8

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 beco

me equal. What are their present ages?

Mathematics

1 answer:

PIT_PIT [12.4K] · Answer 1 · 2026-03-30T20:39:22+03:00

Answer:

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

$\text}{The present age of Seymour=2x=2\times 32=64 yrs}$

Step-by-step explanation:

Based on the fact that Seymour’s age is double that of Cassandra. If 16 is added to Cassandra’s age and 16 is deducted from Seymour’s age, both will be of the same age.

We need to determine their current ages.

Let Cassandra's current age be x years

Given that Seymour is twice as old as Cassandra

Thus, Seymour's current age=2x years

According to the problem, if 16 is added to Cassandra's age and 16 is subtracted from Seymour's age, their ages will equal each other.

⇒ $x+16=2x-16$

$2x-x=16+16$

$x=32 yrs$

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

$\text}{The present age of Seymour=2x=2\times 32=64 yrs}$