Question

94 is divide into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3:4 the first part is

Answer 1

Given :

• 94 is divided into two parts,  fifth part of the first and eighth part of the second are in the ratio 3 : 4

To Find :

• The first part.

$\huge\underline\green{Solution:}$

Let first part be ' F '

other part will be ' 94 - F '

Now,

According to Question

$\dfrac{\frac{F}{5}}{\frac{94-F}{8}} = \frac{3}{4} \\=> \frac{F}{5}\times \frac{8}{94-F} =\frac{3}{4} \\\\</p><p>=> 32F = 15\times 94 - 15F \\\\</p><p>=> 47F = 15\times 94 \\\\</p><p>=> 47F = 1410 \\\\</p><p>=> F = \frac{1410}{47} \\\\</p><p>\therefore F = 30$

Answer : First part is 30

$\rule{200}2$