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Shvoong Home>Books>mathematics for class VIII Review

# mathematics for class VIII

Book Review   by:Hemant Kumar Sharma     Original Authors:

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.
Published: May 11, 2006
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1. Answer   Question  :    the greater of two numbers is 12 more than the smalller and the sum of the two numbers is 10.find the numbers?
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