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Micah is 5 years older than Destiny. In 7 years, the sum of their ages will be 65. How old is Micah now?

a) 35 years
b) 32 years
c) 30 years
d) 28 years

1 Answer

4 votes

Final answer:

Micah is 5 years older than Destiny. In 7 years, the sum of their ages will be 65. Therefore, Micah is currently 26 years old.

Step-by-step explanation:

Let's assume that Destiny's age is x years.

According to the given information, Micah is 5 years older than Destiny, so Micah's age would be x + 5 years.

In 7 years, Destiny's age will be x + 7 years and Micah's age will be (x + 5) + 7 years.

The sum of their ages in 7 years will be (x + 7) + ((x + 5) + 7) = x + x + 5 + 7 + 7 = 2x + 24 years.

Given that the sum of their ages in 7 years will be 65, we can set up an equation: 2x + 24 = 65.

Simplifying the equation, we get 2x = 41, then dividing both sides by 2, x = 20.5.

Since we can't have half a year, we can approximate Destiny's age to 21 years.

Therefore, Micah's age would be x + 5 = 21 + 5 = 26 years.

So, Micah is currently 26 years old.

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