Barry is 6 yrs old.Larry is twice as old as Barry.Terry is the same number of years older than Barry as he is younger than Larry.How many years old is Terry?

just put the words into symbols:

B = 6
L = 2B
T-B = L-T

now start substituting
B=6, so

L=12
T-6 = L-T

Now we know that L=12, so

T-6 = 12-T
2T = 18
T = 9

Thank you Steve

To find out Terry's age, we can break down the information we have about the ages of Barry and Larry. Let's go step by step:

1. Barry is 6 years old.
2. Larry is twice as old as Barry, so Larry is 6 * 2 = 12 years old.

Now we have to determine Terry's age. It is stated that Terry is the same number of years older than Barry as he is younger than Larry. This means that Terry's age must be the difference between Barry and Larry's ages divided by 2.

Let's calculate this:

Age difference between Barry and Larry: 12 - 6 = 6
Dividing the age difference by 2: 6 / 2 = 3

Therefore, Terry is 3 years old.