Answer:
The parts are 63 and 81
Step-by-step 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:
[tex]\displaystyle \frac{x}{144-x}=\frac{7}{9}[/tex]
Cross-multiplying the denominators:
9x = 7(144 - x)
Operating:
9x = 1008 - 7x
Adding 7x:
16x = 1008
Dividing by 16:
[tex]x = \frac{1008}{16}=63[/tex]
First part: x=63
Second part: 144-63=81
The parts are 63 and 81
