tom is 5 years older than 3 times time age. if the sum of their ages is 15 years more than twice?
I think the question needs a little editing.
Herm is three times as old as Felicia. Five years ago the sum of their ages was 26. Find the age of each person now.
To solve this problem, we can use algebraic equations. Let's break down the information provided into equations:
Let's assume Tom's age is represented by "T" and Tim's age is represented by "t".
The first piece of information states that "Tom is 5 years older than 3 times Tim's age." We can write this as:
T = 3t + 5
The second piece of information states that "the sum of their ages is 15 years more than twice something." Let's assume the "something" is "S". We can write this as:
T + t = 2S + 15
Now we have a system of two equations:
1. T = 3t + 5
2. T + t = 2S + 15
To solve this system, we need to find the values of T, t, and S.
Since we have two equations with two variables (T and t), we can solve it by substitution, elimination, or graphing. Let's use substitution here.
From equation 1, we have T = 3t + 5.
Substitute this into equation 2:
(3t + 5) + t = 2S + 15
Combine like terms:
4t + 5 = 2S + 15
Rearrange this equation:
4t - 2S = 15 - 5
4t - 2S = 10
Now we have a new equation:
4t - 2S = 10
This equation gives us the relationship between t and S. However, since we don't have any specific values or additional information, we cannot solve the equation to determine the exact values of t and S.
Therefore, without more information, we can't determine the specific ages of Tom and Tim or the value of S.