Dan and Paul share some money in the ratio 13:5.

Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.

How much did Paul originally have?

Guest Jan 19, 2019

#1**+1 **

D/P =13/5,

(D-32)/(P+32) =1, solve for D, P

D = 104 pounds - what Dan originally had

P = 40 pounds -what Paul originally had

104 - 32 =72 - what Dan has after giving Paul 32 P.

40 + 32 =72 - what Paul has after receiving 32 P.

Guest Jan 19, 2019

#2**+1 **

Let total amount = T

So

Dan originally has (13/18)T and Paul has (5/18)T

So....after Dan gives Paul 32 pounds....we have that

(13/18)T - 32 = (5/18)T + 32 simplify

(13/18)T - (5/18)T = 64

(8/18)T = 64

(4/9)T = 64

T = 64 (9/4) = 144

So... Paul originally had (5/18)(144) = 40 pounds

CPhill Jan 19, 2019