Question

Divide 18 into two parts such that the larger part divided by the smaller part give the quotient 2 what is the largest no

Answer 1

Step-by-step explanation:

Let the larger part be x

Therefore, smaller part = 18 - x

According to the given information:

$\frac{x}{18 - x} = 2 \\ \therefore \: x = 2(18 - x) \\ \therefore \: x = 36 - 2x \\ \therefore \: x + 2x= 36 \\ \therefore \: 3x= 36\\ \therefore \: x= \frac{36}{3} \\ \therefore \: x= 12 \\ \therefore \: 18 - x= 18 - 12 = 6 \\ thus \: the \: two \: parts \: of \: 18 \: are \: 12 \: \\ and \: 6 \: out \: of \: which \: \\ largest \: number \: is \: 12.$