suneeta weight is 3/5 of kantas weight and kantas weight is 4/5of shantis weight.if the weight of suneeta is 51 kg.,find the weight of kanta and shanti.also find theratio of their weights.
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souravkumarin507:
answer is 85kanta,106.25kg shantiand ratio is 12..20..25
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Given, Suneeta's weight is 3/5 of kanta's
Also given Suneeta's weight is 51kg
this means,
3/5 × Kanta's weight = 51
=> Kanta's weight = 51 × 5/3
=> Kanta's weight = 17 × 5 = 85kg
Also given that kanta's weight = 4/5 of Shanti's weight
But we have derived Kanta's weight as 85kg
this means,
4/5 × Shanti's weight = 85
=> Shanti's weight = 85 × 5/4
=> Shanti's weight = 106.25
Now ratio =
51:85:106.25
=> 51: 85 : 10625/100
Taking LCM as 100 we get
51 = 5100/100 and 85 = 8500/100
So ratio =
5100/100 : 8500/100 : 10625/100
Cancellation of 100 as it is common we get
ratio =
5100:8500:10625
Simplifying the ratio as dividing by 17 as common divisor we get
ratio = 300:500:625
Further simplifying by dividing from 25 as common divisor we get
ratio = 12:20:25
Hope it helps dear friend ☺️✌️
Also given Suneeta's weight is 51kg
this means,
3/5 × Kanta's weight = 51
=> Kanta's weight = 51 × 5/3
=> Kanta's weight = 17 × 5 = 85kg
Also given that kanta's weight = 4/5 of Shanti's weight
But we have derived Kanta's weight as 85kg
this means,
4/5 × Shanti's weight = 85
=> Shanti's weight = 85 × 5/4
=> Shanti's weight = 106.25
Now ratio =
51:85:106.25
=> 51: 85 : 10625/100
Taking LCM as 100 we get
51 = 5100/100 and 85 = 8500/100
So ratio =
5100/100 : 8500/100 : 10625/100
Cancellation of 100 as it is common we get
ratio =
5100:8500:10625
Simplifying the ratio as dividing by 17 as common divisor we get
ratio = 300:500:625
Further simplifying by dividing from 25 as common divisor we get
ratio = 12:20:25
Hope it helps dear friend ☺️✌️
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