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Question
Solve: `(2"x")/3 - (3"x")/8 = 7/12`
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Solution
`(2"x")/3 - (3"x")/8 = 7/12`
L.C.M. of 3 and 8 = 2 × 2 × 2 × 3 = 24
`therefore (2"x" xx 8)/(3 xx 8) - ("3x" xx 3)/(8 xx 3) = 7/12`
`= "16x"/24 - "9x"/24 = 7/12`
`= "16x"/24 - "9x"/24 = 7/12`
`= (16"x" - 9"x")/24 = 7/12`
`= "7x"/24 = 7/12`
`= "x" = (7 xx 24)/(12 xx 7) = 2`
∴ x = 2
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