A bag contains red, blue, and green balls in the ratio 4 : 5 : 6.
A bag contains red, blue, and green balls in the ratio 4 : 5 : 6. If 6 red balls are removed and 3 green balls are added, the new ratio becomes 2 : 5: 7. How many red balls were originally in the bag ?
एक थैले में लाल, नीली और हरी गेंदे 4: 5 : 6 के अनुपात में हैं। अगर 6 लाल गेंदे निकाल दी जाएँ, और 3 हरी गेंदें डाल दी जाएँ, तो नया अनुपात 2 : 5 : 7 हो जाता है। थैले में मूल रूप से कितनी लाल गेंदें थी?
Detailed Solution & Logic
12
$4x:5x:6x$
$\dfrac{4x-6}{2}=\dfrac{5x}{5}=\dfrac{6x+3}{7}$
$5x=5x$
$\dfrac{4x-6}{2}=x$
$4x-6=2x$
$2x=6$
$x=3$
Original red balls=$4x=12$
Answer = 12
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