Question

We divide Rso. 300 into two parts such that 1/2 of the first and 1/3 of the second arweek equal. Find the difference of two parts.

Answer 1

10 is the difference between the two parts.
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Answer 2

We can solve this problem by forming a pair of linear equations in two variables and then solving them for the values.

Let the first part be 'x' and the other part be 'y'.

Then, x+y=300

Also, $\frac{x}{2}= \frac{y}{3}$

⇒ 3x= 2y

⇒x= $\frac{2y}{3}$

Putting this in the first equation:

we get, $(\frac{2y}{3})$+y=300

⇒$\frac{5y}{3}= 300$

⇒5y= 900

⇒y= 180

and, x = 300- 180

⇒x= 120

∴ The differnce between the two parts is 60.