-
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.
-
-
3 8
-
3 7
-
4 8 -
2 7
-
Correct Option: A
LCM of 4, 5 and 6 = 60
Quotient on dividing 800 by 60 = 13
Quotient on dividing 400 by 60 = 6
∴ Required answer = 13 – 6 = 7
Method 2 :
First number greater than 400
that is divisible by 60 = 420
Smaller number than 800 that
is divisible by 60 = 780
It is an Arithmetic Progression with common difference = 60
with common difference = 60
By tn
= a + (n – 1)d
780 = 420 + (n – 1) × 60
⇒ (n – 1) × 60 = 780 – 420 = 360
⇒ (n – 1) = 360 ÷ 60 = 6
⇒ n = 6 + 1 = 7
