Question

A number of stamps were shared between Peter and Paul in the ratio 4 : 9 . If the stamps were shared in the ratio 9 : 4 instead peter would receive 45 more stamps. Find the total number of Stamps to b ...?"

Answer 1

total stamps is constant

so
4x+9x=9y+4y
13x=13y
x=y
different is 45

9x-4y=45(x=y)
5x=45
x=9

total is 4(9)+9(9)=117

Answer 2

Answer:

117 stamps

Step-by-step explanation:

Let the number of stamps be x

If shared in the ratio 4:9

Peter receives 4/13 x

Paul receives 9/13 x

If shared in the ratio 9:4

Peter receives 9/13 x

Paul receives 4/13 x

If they were shared as 9:4, peter would receive 45 more stamps.

9/13 x – 4/13 x = 45

5/13 x = 45

x = 45 x 13/5

x = 117

therefore, there were 117 stamps