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Question

# Q. If 24 is subtracted from a number, the number gets reduced to its four-seventh. What is the sum of the digits of that number? Q. यदि एक संख्या से 24 घटाया जाता है, तो प्राप्त संख्या स्वयं से 47 भाग तक कम हो जाती है।उस संख्या के अंकों का योग क्या है?

A
13
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B
56
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C
9
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D
11
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Solution

## The correct option is D 11Let us assume the number as ‘n’. According to the question, If 24 is subtracted, it becomes 47 of the number. n−24=n×47 ⇒n−4n7=24 ⇒(7n−4n)7=24 ⇒3n7=24 ⇒3n=24×7 ⇒n=24×73 ⇒n=8×7 ⇒n=56 Sum of the digits of the number =5+6=11 हम संख्या को ‘n’ मान लें। प्रश्न के अनुसार, यदि 24 घटाया जाता है, तो यह संख्या का 47 हो जाता है। n−24=n×47 ⇒n−4n7=24 ⇒(7n−4n)7=24 ⇒3n7=24 ⇒3n=24×7 ⇒n=24×73 ⇒n=8×7 ⇒n=56 संख्या के अंकों का योग =5+6=11

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