Question

A wise woman once said 400 reduced by twice my age is 262. What is her age?

Answer 1

69 years old

Explanation:

a wise woman once said 400 reduced by twice my age is 262.

Let the ages of a woman is x

twice of woman age is 2x

400 is reduced by 2x. So we subtract 2x from 400

`400-2x`

400-2x is 262, the equation becomes

`400-2x=262`

Solve for x

Subtract 400 from both sides

`-2x=-138`

Now divide both sides by -2

x=69

So, she is 69 years old

Answer 2

69 is your answer

Explanation:

Let her age be "x"

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

69 is her age

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