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One integer is four times other. The sum of the integers is 5. What is the value of the lesser integer?
Let x = the lesser integer and now let y = the greater integer. The ?rst sentence in the question provides the equation y = 4x. The second sentence provides the equation x + y = 5. Substitute y = 4x within the second equation: x + 4x = 5. Combine like terms on the left side of the equation: 5x = 5; divide both sides of the equation through 5: 5x/5 = 5/5 . This provides a solution of x= 1, which is the lesser integer.
assignment for appications of derivatives
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if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x
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