A is 2 years older than B. The sum of their ages is 24. How old is A and how old is B?
A and A-2
A + A - 2 = 24
2 A = 26
A = 13
B = 11
Let A age be x and let B age be x-2
The sum Of Their Age Is 24
X+X-2=24
X+X=24+2
2X=26
X=13
Therfore:when X Is 13
B=X-2
B=13-2
B=11.
To solve this problem, let's use algebra to represent the ages of A and B.
Let's assume B's age is x years. Then, according to the problem, A's age would be x + 2 years because A is 2 years older than B.
The problem also states that the sum of their ages is 24. So, we can set up an equation:
x + (x + 2) = 24
Simplifying the equation:
2x + 2 = 24
Next, we can subtract 2 from both sides of the equation to isolate the variable:
2x + 2 - 2 = 24 - 2
2x = 22
Now, divide both sides by 2:
2x/2 = 22/2
x = 11
So, B's age is 11 years old. And since A is 2 years older than B, A's age is:
11 + 2 = 13
Therefore, A is 13 years old and B is 11 years old.