Question:
If 9x-1/2-22x-2=4x-32x-3, then x is
If 9x-1/2-22x-2=4x-32x-3, then x is
Updated On: Sep 26, 2024
- 3/2
- 2/5
- 3/4
- 4/9
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The Correct Option is A
Solution and Explanation
The correct answer is (A):
9x-1/2-22x-2 = 4x-32x-3
9x/91/2-22x/4 = 4x-32x/27
9x/3-22x/4 = 4x-9x/27
9x/3-4x/4 = 4x-9x/27
9x/3+9x/27 = 4x+4x/4
9x(10)/24 = 4x(5)/4
Explanation:- 9x/4x = 27/8
(3/2)2x = 27/8 = 33/23 = (3/2)3
2x=3 ⇒ x = 3/2
Alternately, we could’ve substituted the value of x from the options and it would’ve taken much less time.
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