5. The difference between a number and one-fourth of itself is 24, find the number,
Find a number whose one-third part exceeds its one-fifth part by 20.
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Answer:
Let the number = x
According to the condition
X – (1/4)x = 24
⇒ (4x – x)/x = 24 ⇒ 3x/4 = 24
⇒ x = 24 × 4/3 ⇒ 3x/4 = 24
⇒ x = 24 × 4/3 ⇒ x = 8 × 4
⇒ x = 32
∴ Number = 32
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