Question

Divide 15000 into three parts such that one-fourth of the first part, one- fivth of the second part and one-sixth of the thirth part are all equal

Answer 1

this is the solution to your problem

Answer 2

Answer:

So 4000, 5000 and 6000 are three shares of 15000.

Step-by-step explanation:

Let first part = X

Second Part = Y

Third Part= Z

Now, according to the question,

$\frac{X}{4}  =  \frac{Y}{5} = \frac{Z}{6}$

So, by comparing first to terms, Y = 5X/4

and comparing, first and third term, Z = 6X/4

As, X + Y + Z = 15000

⇒$X  + \frac{5X}{4}  + \frac{6X}{4}  = 15000$

or, $\frac{4X + 5X + 6X}{4}  = 15000$

⇒ 15X = 15000 x 4= 60000

⇒ X = 4000

Now, Y = 5X/4

⇒$Y = \frac{5 \times 4000}{4}$ = 5000

and $Z = \frac{6 \times 4000}{4}$ = 6000

So 4000, 5000 and 6000 are three shares of 15000.