Question

The sum of two number is 160 .They are in the ratio of 5:11 .Find the answer?

Answer 1

since they r in the ratio 5:11,
let the numbers be 5x and 11x
now,
5x+11x=160
16x=160
x=10
there the numbers are 50 and 110

hopw this helps:p

Answer 2

Given:

The sum of the two numbers is 160. They are in the ratio of 5:11

To Find:

Find the answer

Solution:

The ratio is a way to compare two quantities of the same unit which is expressed as a:b and is equivalent to the expression of fraction as a/b.

Let the two numbers be x and y, and it is given that the sum of these numbers is 160, so which can be expressed as,

x+y=160

And it is also given as that the ratio of the two numbers is 5:11, which can be expressed and we can deduce the value of x as,

[tex]\frac{x}{y} =\frac{5}{11} \\\\ x=\frac{5y}{11} [/tex]

So now putting the value of x in the sum equation which will give us the value of y,

[tex]x+y=160\\\\ \frac{5y}{11}+y=160\\\\ \frac{5y+11y}{11} =160\\\\ \frac{16y}{11} =160\\\\ y=11*10\\ y=110[/tex]

So now the value of y is 110 then putting the value of y and finding the value of x from the sum equation,

x+110=160

x=50

Hence, the value of the two numbers is 110 and 50.