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4 Arun was to find 6/7 of a fraction. Instead of multiplying, he divided the
fraction by 6/7 and the result obtained was 13/70 greater than original
value. Find the fraction given to Arun?
Let the fraction
Answers
Answered by
3
Answer:
39/35
Step-by-step explanation:
Let the unknown fraction be x.
According to the condition,
x ÷ 6/7 = x + 13/70
= x × 7/6 = (70x + 13) / 70
=> 7x / 6 = (70x + 13)/70
By Cross multiplication, we get
70 × 7x = 6 ( 70x + 13 )
490x = 420x + 78
490x - 420x = 78
70x = 78
=> x = 78/70 = 39/35
Verification
39/35 ÷ 6/7
=> 39/35 × 7/6 = 13/10
13/10 - 13/70 = (91 - 13) / 70 = 78/70 = 39/35
Hence Verified
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