£410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Malachy get?
Answers
Given:
£410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul.
To find:
How much does Malachy get?
Solution:
From given, we have the data as follows.
£410 is divided between Gordon, Malachy & Paul.
Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul.
Let the amount with Paul be x.
Then, the amount with Malachy will be, 3x.
Finally, the amount with Gordon will be, 2 × 3x
⇒ The amount with Gordon will be, 6x.
£410 is divided between Gordon, Malachy & Paul.
⇒ x + 3x + 6x = 410
⇒ 10x = 410
⇒ x = 41
∴ The amount with Paul will be = x = £41
∴ The amount with Malachy will be = 3x = 3 × £41 = £123
∴ The amount with Gordon will be = 6x = 6 × £41 = £246
∴ The amount with Malachy will be £123