Mathematics For Class Viii
(A R Sinal;MahenderShanker;Ram Avtaar;sunder lal)
Q.The difference btween two positive integers is 50.The ratio of these integers is 1:3.Find these integers ?
Solution : We are given two relations beteen two integers.Let us denote the smller integer by unknown Y
The statement tells us that the difference is 50 thus two integers are Y and Y+50
Second statement tells us that the ratio is 1:3 thus
1 Y
------ = --------------
3 Y + 50
1 X (Y+ 50) = 3 X Y
Y + 50 = 3Y
50 = 2Y
Y = 25
The two integers were expressed by Y and Y+50 and Y is 25 hence two integers are 25 and 25 + 50 i.e. 25 and 75.
Check the statement : difference is 50 so 75 - 25 = 50
ratio is 1:3 so 25 :75 = 1:3
Hence the solution is correct.
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