Question

divide 160 into two equal parts so that four times the smaller one is equal to three times the larger one​

Answer 1

Answer:

The Larger number is $\frac{640}{7}$ and smaller number is $\frac{480}{7}$

Step-by-step explanation:

Let us consider one of the smaller number is x and larger number is y

given that,

              four times the smaller one is equal to three times the larger one

$4x=3y\\ \\ y=\frac{4x}{3} --------------------(1)$

Sum of the two number is 160,

so $x+y=160--------------(2)$

Putting equation (1) in equation (2),

                $x+\frac{4x}{3} =160\\ \\ \frac{3x+4x}{3} =160\\ \\ \frac{7x}{3} =160\\ \\ 7x=480\\ \\ x=\frac{480}{7}$

larger number is ​

                                       $y=\frac{4x}{3} =\frac{4}{3} \frac{480}{7} \\ \\ =\frac{640}{7}$