Question

A wise women once said, “400 reduced by twice my age is 264.” What is her age?

Answer 1

Answer:

My age is 78 years.

Explanation:

Define my age first as a variable.

Let my age be  

x

years.

Reduced by means subtracted.

Subtract twice my age from 400 to get 244:

400

−

2

x

=

244

400

−

244

=

2

x

     

←

make x positive and isolate it.

156

=

2

x

78

=

x

Step-by-step explanation:

Answer 2

Answer:

69 is her age

Step-by-step explanation:

Set the equation:

400 - 2x = 262

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 400 from both sides

400 (-400) - 2x = 262 (-400)

-2x = -138

Next, divide -2 from both sides

(-2x)/-2 = (-138)/-2

x = -138/-2

x = 69