"Tanya's age is ten years greater than half Aarons age. If the sum of their ages is 55, how old is Tanya?" can who ever solves this explain how to do it too???
Say Aarons age = 2A years
Therefore, Half of Aarons age = A years
Therefore, Tanya's age = A+10
2A + A+10 = 55
3A + 10 = 55
3A + 10 -10 = 55 - 10
3A = 45
A = 15.
Therefore, Tanya is 15 + 10 = 25 years old.
(Aaron is 2 x 15 = 30 years old)
To solve this problem, we can start by assigning variables to the unknown ages. Let's say that Tanya's age is represented by "T" and Aaron's age is represented by "A".
According to the information given, Tanya's age is ten years greater than half of Aaron's age. So we can write the first equation:
T = (1/2)A + 10
The second equation states that the sum of their ages is 55:
T + A = 55
To solve this system of equations, we can substitute the first equation into the second equation:
((1/2)A + 10) + A = 55
(1/2)A + 10 + A = 55
(3/2)A + 10 = 55
Next, we can subtract 10 from both sides of the equation:
(3/2)A = 55 - 10
(3/2)A = 45
To isolate A, we can multiply both sides of the equation by 2/3:
A = (2/3) * 45
A = 30
Now that we know Aaron's age is 30, we can substitute this value back into the first equation to find Tanya's age:
T = (1/2)(30) + 10
T = 15 + 10
T = 25
Therefore, Tanya is 25 years old.
To solve this problem, we need to set up a system of equations based on the given information. Let's assume Aaron's age is x.
According to the problem, Tanya's age is ten years greater than half of Aaron's age. So, we can write Tanya's age as (1/2)x + 10.
The sum of their ages is 55, so we can combine the two equations and set it equal to 55:
x + [(1/2)x + 10] = 55
To solve for x, we need to simplify the equation by combining like terms:
(3/2)x + 10 = 55
Next, we want to isolate x on one side of the equation. We can do this by subtracting 10 from both sides:
(3/2)x = 55 - 10
(3/2)x = 45
Finally, to solve for x, we can multiply both sides by 2/3:
x = (45 * 2) / 3
x = 30
Aaron's age is 30. Now, we can find Tanya's age by substituting this value back into our equation:
Tanya's age = (1/2) * 30 + 10
Tanya's age = 15 + 10
Tanya's age = 25
Therefore, Tanya is 25 years old.