Question

Glenn and Jason each have acollectionofcricketballs. Glenn said that if Jason would give him 4 of his balls they would have an equal number; but, if Glenn would give Jason 4 of his balls, Jason would have 3 times as many balls as Glenn. How many balls does Jason have?

Answer 1

$$\begin{gathered} LetthenumberofballswithGlenn=x \\ LetthenumberofballswithJason=y \\ Now,accordingtofirstcondition, \\ WhenJasongives4ballstoGlenn,thenbothofthemhaveequalballs \\ x+4=y-4 \\ \Rightarrow x-y=-8.......\left(1\right) \\ WhenGlenngives4ballstoJason,thennumberofballswithJasonbecomes3timesofGlenn. \\ Now,y+4=3\left(x-4\right) \\ \Rightarrow -3x+y=-16........\left(2\right) \\ adding\left(1\right)and\left(2\right),weget \\ -2x=-24 \\ \Rightarrow x=12 \\ Now,from\left(1\right),wegety=20 \\ So,numberofballswithGlenn=12 \\ NumberofballswithJason=20 \end{gathered}$$