Question

£60 is divided between Peter, Angad & Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as Nick. How much does Peter get?

Answer 1

Given : £60 is divided between Peter, Angad and Nick

Let the amount Peter received be : P

Let the amount Angad received be : A

Let the amount Nick received be : N

Given : Peter gets twice as much as Angad

$:\implies$  The amount received by Peter = 2 times Angad received

$:\implies$  The amount received by Peter = 2A

Given : Angad gets three times as much as Nick

$:\implies$  The amount received by Angad = 3 times Nick received

$:\implies$  The amount received by Angad = 3N

Now, As the total amount of received to Peter, Angad Nick should be equal to 60, We equate sum of their received amounts to 60

$:\implies$ P + A + N = 60

But, from above we found that : P = 2A

$:\implies$ 2A + A + N = 60

$:\implies$ 3A + N = 60

But, from above we found that : A = 3N

$:\implies$ 3(3N) + N = 60

$:\implies$ 9N + N = 60

$:\implies$ 10N = 60

$:\implies$ N = 6

$:\implies$ Amount received by Nick after dividing is : £6