Question

One number is half another number. The sum of the two numbers is 141. Find the numbers.

Answer 1

let the a number be x

and the another number be 1/2 x

x+1/2x=141

take the LCM

(2x+x)/2=141

3x/2=141

3x=141×2

=282

x=282/3

x=94

so

x=94

1/2x=47

Answer 2

For this case we have to represent the numbers with the variables "x" and "y".

Then, according to the statement we have:

`x = \frac {y} {2}\\x + y = 141`

We substitute the first equation in the second one:

`\frac {y} {2} + y = 141\\\frac {y + 2y} {2} = 141\\3y = 2 * 141\\3y = 282\\y = \frac {282} {3}\\y = 94`

So:

`x = \frac {94} {2}\\x = 47`

Answer:

The numbers are: 47 and 94