Q2 of 80 Page 56

What number is that of which the third part exceeds the fifth part by 4?

Let the number be x.

The third part of the number =


The fifth part of the number =


According to the given condition,



⇒ (Transposing to LHS)


(LCM of 3 and 5 is 15)



⇒ 2x = 15 × 4 (Transposing 15 to RHS)


2x = 60


⇒ x = (Transposing 2 to LHS)


x = 30


∴ The number is 30.


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