2/3 of a number decreases its 4/5 by 8. The number is?
- 90
- 100
- 60
- None of these
Explanation
Let's denote the number as x.
Given that 2/3 of x decreases its 4/5 by 8:
(2/3)x = (4/5)x - 8
To solve for x, let's multiply the entire equation by 15 (the least common multiple of 3 and 5) to eliminate the fractions:
10x = 12x - 120
Subtract 10x from both sides:
0 = 2x - 120
Add 120 to both sides:
120 = 2x
Divide both sides by 2:
x = 60
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