A number whose fifth part increased by 5 is equal to its third part decreased by 7. Find half of the number.
A number whose fifth part increased by 5 is equal to its third part decreased by 7. Find half of the number.
किसी संख्या के पाँचवें भाग में 5 जोड़ने पर वह उसके एक-तिहाई भाग में से 7 घटाने के बराबर हो जाता है। उस संख्या का आधा ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
45
Solution:
Let the number be $x$.
According to the question,
$\frac{x}{5} + 5 = \frac{x}{3} - 7$
$\frac{x}{3} - \frac{x}{5} = 12$
$\frac{2x}{15} = 12$
$x = 90$
Half of the number
$= \frac{90}{2} = 45$
Answer: (B) 45
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