Question

Divide rs. 1870 into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal. (1) 241, 343, 245 (2) 400, 800, 670 (3) 470, 640, 1160 (4) none of these

Answer 1

Let equal part be "x"

> first part = 2x

> second part = 3x

> third part = 6x

As sum total of all parts = 1870

Therefore 2x+3x+6x = 1870

> 11x = 1870

So x = 1870/11 > 170 Ans

Answer 2

Answer:

Let $\frac{1}{2}$ of first part = $\frac{1}{3}$ of second part = $\frac{1}{6}$ of third part be x

So, first part = 2 x

Second part = 3x

Third part = 6x

So, 2x+3x+6x=1870

So, 11x = 1870

x = 170

So, first part = 2 x = 2*170= 340

Second part = 3x = 3*170 = 510

Third part = 6x = 6*170 = 1020