Answer:
Paul's original share is £ 65
Step-by-step explanation:
Given,
The ratio of money Dan and Paul has = 11 : 5
Let, Dan's share = 11x,
Paul's share = 5x,
Where,
x is any positive real numbers,
Now, if Dan gives Paul £39 of his share,
Then, Dan's share = 11x - 39,
Paul's share = 5x + 39
Thus, the new ratio of there share = [tex]\frac{11x-39}{5x+39}[/tex]
According to the question,
[tex]\frac{11x-39}{5x+39}=\frac{1}{1}[/tex]
By cross multiplication,
[tex]11x - 39 = 5x + 39[/tex]
By additive property of equality,
[tex]11x = 5x + 39 + 39[/tex]
By subtraction property of equality,
[tex]11x - 5x = 78[/tex]
[tex]6x = 78[/tex]
By division property of equality,
[tex]x=\frac{78}{6}=13[/tex]
Hence, Paul's original share = 5(13) = £ 65
