How old am i if 500 reduced by 4 times my age is 137

Answer 1

How old am i if 500 reduced by 4 times my age is 137

The first thing to do here is to convert the statement into mathematics.

Let X be the answer you are looking for. Staring with that you convert the statement to: what is X if 500 reduced by a different amount is 137.

A number that is reduced by a different number results in a new number solved by subtracting the second number from the first number. For Example: 10 reduced by 2 is 8.

The statement says 500 is reduced by 4 times your age, that is, X, which is the answer you are looking for.

Convert the statement to mathematics

500 - 4*X = 137

500 - 4X= 137

Solve for X

step 1. Move like terms together, in this case move the numbers to one side of the equation (an equation is a mathematical statement that contains an equal sign ) while the letters remain on the other side of the equation. The sides do not matter.

remember when numbers or letters cross the equal sign their signs change. A positive number becomes negative, while a negative number becomes positive.

500 -4X= 137

is

500-137 = 4X or -4X = 137-500

363 = 4X

divide both sides of the equation by 4 to preserve X on one side of the equation

X = 90.25

One can not be 0.25 years old, I convert 0.25 years to months which is 3 months. The answer you are looking for is 90 years 3 months

Answer 2

First we translate the sentence into math language:

reduced by means minus

the unknown number is my age, so I'm going to call that x.

and is means equals

so, 500 - 4x = 137.

Now, if I subtract 137 from both sides I get:

363 - 4x = 0

And if I add 4x to both sides I get:

363 = 4x

Now I can divide both sides by 4 and I get:

x = 90 3/4

To check that my answer makes sense, I'm going to read it back into the story:

500 reduced by 4 times 90 3/4 is 137,

which means that 500 - 363 = 137, which is true.

Answer 3

A=my age

500-4A=137

4A=500-137=363

A=90 3/4