really need someone who is good with maths to assist me with this question
In the Lewis family, the age of the father is three time the age of his son, and the difference between the age of the grandfather and the father is 27 years. If 𝑥 represents the age of the son, which of the following expressions represent the age of the grandfather, in years?
well, the father is 3x
the grandfather is older than that, so add 27
what do you get?
No following expressions.
To solve this problem, we'll break it down into steps:
Step 1: Define the variables:
Let's assign variables to represent the ages of each family member:
- Let x represent the age of the son.
- Let 3x represent the age of the father since the problem states the father's age is three times that of the son.
- Let g represent the age of the grandfather.
Step 2: Set up equations using the given information:
We are given two pieces of information in the problem:
1. The age of the father is three times the age of the son.
So, we can write: 3x = age of the father.
2. The difference between the age of the grandfather and the father is 27 years.
So, we can write: g - 3x = 27 (as the age of the grandfather minus the age of the father equals 27).
Step 3: Solve the equations:
To find the age of the grandfather, we need to solve for g.
Using the equation g - 3x = 27, we can rearrange it as:
g = 3x + 27.
Therefore, the expression that represents the age of the grandfather is 3x + 27.
Keep in mind that this solution assumes we have all the necessary information and that there are no additional factors affecting the ages.