shriyankulkarni shriyankulkarni

24-09-2017
Mathematics

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I thought of a number, multiplied it by 2 1/2 , divided the result by 1 1 /5 , subtracted 7/18 from it, and got 1 5/6 . What was my number?

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EmilyWinner EmilyWinner

24-09-2017

x=88/45

(2.5x/(11/5))-(7/18)=(11/6) - Equation
(12.5x/11)-(7/18)=(11/6) - Multiply 2.5×5 =12.5
(125x/11)-(35/9)=(55/3) - Multiply both sides by 10
(125x/11)=(200/9) - Add (35/9) to both sides
125x=(2200/9) - Multiply both sides by 11
x=(88/45) - Divide both sides by 125

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