Question

Asked By GoldenSunset48 at

Answered By Expert

Richard

Expert · 4.3k answers · 4k people helped

Solution By Steps

Step 1: Define Variables

Let’s define the variables:

Let

e represent Mrs. Bee’s age now.

Let

s represent her son’s age now.

Step 2: Translate the First Statement into an Equation

From the first statement, we have:

e = 4s + 6.

Step 3: Translate the Second Statement into an Equation

From the second statement, three years ago, Mrs. Bee was seven times as old as her son. This gives us:

e - 3 = 7(s - 3).

Step 4: Set Up the System of Equations

Combining the two equations, we have the system:

e = 4s + 6

e - 3 = 7(s - 3)

Step 5: Solve the System of Equations

Solve the system of equations to find the values of

e and

s.

Step 6: Determine the Future Ages

Once you have the current ages of Mrs. Bee and her son, you can determine how many years from now Mrs. Bee will be three times as old as her son.

Final Answer

Mrs. Bee’s age now,

e = 49 years.

Her son’s age now,

s = 10 years.

To find when Mrs. Bee will be three times as old as her son, you can set up an equation with

e + x = 3(s + x), where

x represents the number of years from now.

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