5. Three-fourths of a number exceeds its one-third by 15. Find the number.
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Answer:
Step-by-step explanation:
Let the required number be x.
Three fourth of number = ( 3 / 4 )x
One third of number = ( 1 / 3 ) x
According to the question ;
3x / 4 = x / 3 + 15
⇒ 3x / 4 - x / 3 = 15
⇒ 9x - 4x / 12 = 15
⇒ 5x = 15 × 12
⇒ x = 180 / 5
⇒ x = 36
Hence, the required answer is 36.
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