Question

Michael's dad is 30 years of age. He is 2 years more than four times Michaels age m. Write and solve a two-step equation to determine Michaels age. Use x as the variable

Answer 1

Answer:

Michael's age is 7 years

Step-by-step explanation:

Let's call Michael's dad age by Y, and Michael age by X

if Michael's dad is 2 years more than four times Michaels age, we can put this information as an equation:

Y = 2 + 4*X

Then, we solve this equation (find the value of X) using the value Y = 30:

30 = 2 + 4*X

step 1: subtract 2 in both sides:

28 = 4*X

step 2: divide both sides by 4:

X = 7

Michael's age is 7 years

Answer 2

Answer:

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:

f = 30

Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:

f = 2 + 4*x

We can now find Michael's age, for that we need to isolate the "x" variable. We have:

f - 2 = 4*x

4*x = f - 2

x = (f-2)/4

x = (30 - 2)/4 = 7 years

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.