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

Question

asked Mar 15, 2024 126k views

1 Answer

Indiesquidge · Answer 1 · 2024-03-21T00:56:59+0000

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.

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.