Rani said "if i add a quarter of my number to half of my number, i get same result when i take away 2 from 4/5 times my number. What is the number?
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The number is 40....
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Define x:
Let the number be x
Add a quarter of the number to half of the number
⇒ 1/4 x + 1/2 x = 3/4 x
Take away 2 from 4/5 times the number
⇒4/5 x - 2
Solve x:
3/4 x = 4/5 x - 2
4/5 x - 3/4 x = 2
1/20 x = 2
x = 2 x 20
x = 40
Answer: The number is 40
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