write an equation that models how old in years each will be 60,55,8 when your ages add up to 150 years old.
(60+x) + (55+x) + (8+x) = 150
123 + 3 x = 150
3 x = 27
x = 9
69, 64, 17
To solve this problem, let's assign variables to represent the ages of the three individuals. Let's call the ages x, y, and z for simplicity.
So, we can set up the following equation:
x + y + z = 150
Now, we need to establish the relationship between their ages. The problem states that their ages, when added up, will be 150 years, but we also know that the ages will be 60, 55, and 8 years respectively.
Therefore, we can create three additional equations using these given ages:
x = 60
y = 55
z = 8
Combining all these equations, we get the following system of equations:
x + y + z = 150
x = 60
y = 55
z = 8
By solving this system of equations, we can find the values of x, y, and z, which will represent the ages of the three individuals.