a student was asked to find9/17 of a number but he made a mistake of finding 9/7of it the answer is 90 more than the correct answer find the answer
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Answer:
the number is 171.
Solution :-
Let the required number be x
⇒ 7/19th of the number = (7*x)/19
= 7x/19
Wrong calculation done by the student, which is 70 more than the correct number = (7/9th of x) - 70
= (7x)/9 - 70
= 7x/9 - 70
Now, according to the question.
⇒ 7x/19 = 7x/9 - 70/1
⇒ 7x/19 = (7x - 630)/9
⇒ 63x = 133x - 11970
⇒ 63x - 133x = - 11970
⇒ - 70x = - 11970
⇒ 70x = 11970
⇒ x = 11970/70
⇒ x = 171
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