Question

I thought of a number, multiplied it by 2 1/2 , divided the result by 1 1/5 , subtracted 7/18 from it, and got 1 5/6 . What was my number? HELP ASAP

Answer 1

To figure out what the number is, just do the inverse operations in the opposite order:

Start by adding 7/18 to 1 5/6, which gives you 2 2/9.

Next, multiply 2 2/9 by 1 1/5, which gives you 2 2/3.

Finally, divide 2 2/3 by 2 1/2, which gives you 1.06666...

Therefore, the number you thought of is 1.06666...

Hope this helps! :)

Answer 2

The number he thought of was 1.16

Let the unknown number be x

• If the unknown number is multiplied by 2 1/2, this is given as 2.5x

• Dividing the result by 1 1/5 will give $\frac{2.5x}{1.2}$

• If 7/18 is subtracted from it to get 1 5/6, this is expressed as $\frac{1.5x}{1.2} -\frac{7}{18} = \frac{11}{6}$

Solve the resulting equation for x:

$\frac{1.5x}{1.2} -\frac{7}{18} = \frac{11}{6}\\1.25x = \frac{11}{6} - \frac{7}{18}\\1.25x=\frac{33-7}{18}\\1.25x=\frac{26}{18}\\ x=\frac{26}{18\times 1.25} \\x=\frac{26}{22.5}\\x= 1.16$

This shows that the number he thought of was 1.16

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