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If rupees 300 is divided into two parts such that 1/2 of the first part and 1/3 of the second part are equal, then find the difference of the two parts. Please help if you know the right answer |
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Answer» two parts be, first part x and second part y If rs 300 is divided in two parts x + y = 300 x = 300 - y…Eq.1 1/2 of the first and 1/3 of the second are equal 1/2 × x = 1/3 × y x/2 = y/3 3x = 2Y…Eq..2 Now SUBSTITUTING the value of x from Eq.1 to Eq..2 3x = 2y 3 (300 - y) = 2y 900 - 3y = 2y 2y + 3y = 900 5y = 900 y = 900/5 y = 180 Thus second part is 180 Substituting value of y in Eq.1 to get the value of x x = 300 -y x = 300 - 180 x = 120 The first part is 120 Thus two parts are 120 and 180. Their difference = 180 - 120 = 60 Answer the two parts are120 and 180 and their difference is 60 Now CHECKING the correctness of answer by putting the value of x and y in Eq. 2 3x = 2y 3 × 120 = 2 × 180 360 = 360 Means answer is correct. |
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