Three brothers Adam, Paul, and Jake are standing on a large carnival scale. The total weight for all three boys reads 180 pounds

on the scale. The ratio of the weights between Adam and Jake is 2:3. If Jake weighs 60 pounds, how much does paul weigh?

Mathematics

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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

PIT_PIT [12445]

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.

⇒ $x+16=2x-16$

$2x-x=16+16$

$x=32 yrs$

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

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

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