, 28.10.2019 14:45 enrica11

# The product of the ages, in years, of three teenagers is 4590. none of the teens are of the same age. what are the ages of the teenagers?

the three teenagers' age are 15, 17 and 19.

step-by-step explanation:

no formula can be use by this question.

its just xyz = 4590 and no other situation.

luckly teen age are limited numbers ftom 13 to 19. so we can do a trial and error, by dividing 4590 to teen age.

4590 Ã· 19 = 241.58 not one of the age

4590 Ã· 18 = 225 this is an answer.

222 Ã· 17 = 15

see, the 15 is the last answer, which is also a teen age.

therefore the three teenagers' age are 15, 17 and 19.

15

17

18

15X17X18= 4590

The ages of the teenagers (whose product is 4590 and none of their ages are the same) are 15 years old, 17 years old, and 18 years old.

To solve this, here were the steps taken:

1. First, to eliminate your range of choices, identify which ages are the ages of teenagers. The ages of teenagers range from thirteen years old to nineteen years old.

2. Coming from step number 1, identify which among 13, 14, 15, 16, 17, 18 and 19 is 4590 (the product) is divisible by. You may do this by dividing 4590 (the dividend) by 13, 14, 15, 16, 17, 18, and 19 (the choices for the correct divisors).

If the quotient using a certain divisor is a whole number, then 4590 is divisible by that identified divisor.

3. Next, after doing step number 2, you would have identified the correct answers: 15, 17 and 18 because 4590 is divisible by 15, 17 and 18.

4. Lastly, you can recheck your answer by multiplying 15 x 17 x 18. This should be equal to 4590.

These are the ages of the teenagers.

Here are other topics that are related to the topic:

Examples of an age problem:

Is every whole number an integer?

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