14) Seeta and Geeta had certain number of chocolates
with them. If Geeta gives 5 chocolates to Seeta, the ratio of
the chocolates with Geeta and Seeta will be 3:2, whereas If
Seeta gives 5 chocolates to Geeta, then the ratio of the
chocolates with Geeta and Seeta will be 4:1. How many
chocolates Geeta had initially?
A)-35
B) 25
C) 20
D) 15
Answers
Given : Seeta and Geeta had certain number of chocolates with them. If Geeta gives 5 chocolates to Seeta, the ratio of the chocolates with Geeta and Seeta will be 3:2,
If Seeta gives 5 chocolates to Geeta, then the ratio of the chocolates with Geeta and Seeta will be 4:1.
To find : How many chocolates Geeta had initially
A) 35
B) 25
C) 20
D) 15
Solution:
Geeta had initially = G
Seeta had initially = S
Geeta gives 5 chocolates to Seeta,
=> G - 5 and S + 5
ratio of the chocolates with Geeta and Seeta will be 3:2,
=> (G - 5)/(S + 5) = 3/2
=> 2G - 10 = 3S +15
=> 2G = 3S + 25
Seeta gives 5 chocolates to Geeta,
=> G + 5 and S - 5
ratio of the chocolates with Geeta and Seeta will be 4:1.
( G + 5)/(S - 5) = 4/1
=> G + 5 = 4S - 20
=> G = 4S - 25
=> 2G = 8S - 50
8S - 50 = 3S + 25
=> 5S = 75
=> S = 15
G = 4S - 25
=> G = 4(15) - 25
=> G = 35
Geeta had initially 35 chocolates
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Answer:35
Step-by-step explanation: