Adam is 2 years older than mike. the square of adam's age is 28 greater than the square of mike's age in years. what is the sum of adam's age and mike's age

The sum of Adam´s and Mike´s age is 14.

Step-by-step explanation:

If Adam is two years older than mike y we called Adam´s age as "x" and Mike´s age as "y", we have: x = y + 2.

If square of Adam´s Age is 28 greater than the square of mike´s age ⇒

x² = y² + 28.

Now we have to consider both equation and replace the first in the second one.

⇒ x² = y² + 28, we replace with x= y + 2. ⇒ (y + 2)² = y² + 28

⇒ y² + 4x + 4 = y² + 28 ⇒ y² + 4x + 4 - y² - 28 = 0 ⇒ 4y - 24 = 0

⇒ 4y = 24 ⇒ y = 24/4 ⇒ y = 6. Mike´s age is 6 years.

With the value of "y" we return to first equation and obtain the value of "x".

⇒ x = y + 2 ⇒ x = 6 + 2 ⇒ x= 8. Adam´s age is 8 years.

Summarizing Adam is 8 years old and Mike 6 years old. So the sum of both ages is 14 years.

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9