Question

Share 144 in the ratio 7:9

Answer 1

You should sum 7 and 9 then divide 144 over 16

Answer 2

The parts are 63 and 81

Explanation:

Ratios

We have to split the number 144 into two parts such that they are in the ratio 7:9.

Let's call

x = one of the parts

144 - x = the other part

It must be satisfied:

`\displaystyle (x)/(144-x)=(7)/(9)`

Cross-multiplying the denominators:

9x = 7(144 - x)

Operating:

9x = 1008 - 7x

Adding 7x:

16x = 1008

Dividing by 16:

`x = (1008)/(16)=63`

First part: x=63

Second part: 144-63=81

The parts are 63 and 81