Question

I thought of a number, subtracted it from 6 1/4 , multiplied the difference by 1 2/3 and then by 2 4/5 . The result was the same as the result of division of 146 by 5 3/14 . What was my number?

Answer 1

(x-6.25)×1.6667×2.8=146÷5.2143
((146÷5.2143)÷(1.6667×2.8))+6.27=x

Answer 2

Answer:

Number was $\frac{1}{4}$

Step-by-step explanation:

Let the number was x.

As per statement of the question,

Subtracted from $6\frac{1}{4}$

⇒ $6\frac{1}{4}$ - x

⇒ $\frac{25}{4}-x$

Difference was multiplied by $1\frac{2}{3}$

= $(\frac{25}{4}-x)\times (1\frac{2}{3})$

= $(\frac{25}{4}-x)\times (\frac{5}{3})$

Then again multiplied by $2\frac{4}{5}$ Or $\frac{14}{5}$

= $(\frac{25}{4}-x)\times (\frac{5}{3})\times (\frac{14}{5})$

= $(\frac{25}{4}-x)\times (\frac{14}{3})$

This result was same as the result of division of 146 by $5\frac{3}{14}$

= $\frac{146}{\frac{73}{14}}$

= $\frac{146\times 14}{73}$

= 28

Now $(\frac{25}{4}-x)\times (\frac{14}{3})$ = 28

$(\frac{25}{4}-x)=(\frac{3\times 28}{14})$

$(\frac{25}{4}-x)=6$

x = $\frac{25}{4}-6$

  = $\frac{25-24}{4}$

  = $\frac{1}{4}$

  = $\frac{1}{4}$