in a particular examination,the ratio of the students who passed the exam to the total number of the students was obtained as 7:8.if 49 students passed the exam , then the total number of students who appeared for the examination is
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56
Step-by-step explanation:
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Step-by-step explanation:
Let the number of those who passed = 25 x and number of failures = 4x
∴ Total no. of candidates who appeared = 29x
New number of candidates who appeared = 29x +5
New number of failures = 4x - 2
∴ New number of passed candidates = (29x + 5) - (4x - 2) = 25x + 7
Given,
4x−2
25x+7
=
3
22
⇒3(25x+7)=22(4x−2)
⇒75x+21=88x−44⇒13x=65⇒x=5
∴ Total no. of the students who appeared at the examination =29×5=145
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