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Devon is 2 years older than Abril. In 5 years the sum of their ages will be 46 . How old is Devon now? years old

User Zabrina
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1 Answer

3 votes

Final answer:

To find Devon's current age, two equations were set up and solved. Devon is currently 19 years old.

Step-by-step explanation:

The question involves solving a system of linear equations to determine Devon's current age based on given information about the future ages of Devon and Abril. This is a common type of problem in algebra.

Step-by-step solution:

Let's denote Devon's current age as D and Abril's current age as A.

According to the problem, Devon is 2 years older than Abril, which gives us the equation D = A + 2.

In 5 years, the sum of their ages will be 46. We express this with the equation: (D + 5) + (A + 5) = 46.

Substitute the expression from step 2 into the equation in step 3 to get: ((A + 2) + 5) + (A + 5) = 46, which simplifies to 2A + 12 = 46.

Now, solve for A: 2A = 46 - 12, which further simplifies to 2A = 34, hence A = 17.

Substitute A back into the first equation to find D: D = 17 + 2, thus D = 19.

Therefore, Devon is currently 19 years old.

User Micmoo
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8.6k points
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