Question

Divide 34 into two parts in such a way that 4/7 of one part is equal to 2/5 of other part

Answer 1

let the 1st part be x
2nd part = 34 - x

given,

$\frac{4}{7} x = \frac{2}{5}(34 - x)$

$\frac{4x}{7} = \frac{2}{5} (34 - x)$

$\frac{4x}{7} = \frac{68 - 2x}{5}$
$4x \times 5 = 7(68 - 2x)$
$20x = 476 - 14x$

$20x + 14x = 476$
$34x = 476$

$x = \frac{476}{34}$

x = 14


therefore,

1st part = 14

2nd part = 34 - 14 = 20

Answer 2

Let one part be x
The other part = 34-x
a/q,
4/7×x=2/5 (34-x)
4x/7=68/5-2x/5

4x/7+2x/5=68/5
(20x+14x)/35=68/5
100x+70x=2380
170x=2380
x=2380/170
x=14
so the two parts are
one part is x=14
other =34-14=20