Give me 5 hard questions with their solution from Linear equation in one variable....
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1. Solve x/3 + 1/5 = x/2 – 1/4
2. Show that x = 4 is a solution of the equation x + 7 – 8x/3 = 17/6 – 5x/8
3. Find x for the equation: (2 + x)(7 – x)/(5 – x)(4 + x) = 1
4. A number is such that it is as much greater than 45 as it is less than 75. Find the number.
5. Divide 40 into two parts such that 1/4th of one part is 3/8th of the other.
6. x + 3x/2 = 35. Find x.
7. A is twice old as B. Five years ago A was 3 times as old as B. Find their present ages.
8. Solve : (x + 3)/6 + 1 = (6x – 1)/3
9. The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get99. Find the original number.
10. Solve : 5x – 3 = 3x + 7
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