the weight of Mohit and Yogesh are in the ratio 4:3. If Mohit's weight increases by 2kg and Yogesh's weight decreases by 3 kg, the ratio of their weights becomes 31:21. Find their original weights.
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Answers
Answered by
5
Answer:
Let the ratio be 4x:3x.
According to Question,
(4x+2) / (3x-3) = 31/21
=> 21 (4x+2) = 31 (3x-3)
=> 84x + 42 = 93x - 93
=> 42+93 = 93x-84x
=> 135 = 9x
=> x = 135/9
=> x = 15 kg
Weight of Mohit = 4×15 kg = 60 kg
Weight of Yogesh = 3×15 kg = 45 kg
Answered by
22
Answer :-
- Weight of Mohit = 60Kg
- Weight of Yogesh = 45Kg
Given :-
- The weight of Mohit and Yogesh are in the ratio 4:3.
- If Mohit's weight increases by 2kg and Yogesh's weight decreases by 3 kg, the ratio of their weights becomes 31:21
To Find :-
- Their original weight.
Step By Step Explanation :-
We know that the weight of Mohit and Yogesh are in the ratio 4:3. If Mohit's weight increases by 2kg and Yogesh's weight decreases by 3 kg, the ratio of their weights becomes 31:21 .
Let us consider the present weight of Mohit and Yogesh be 4x and 3x.
Now equation will be ⤵
Now let us find the value of x !!
x = 15
Therefore weight of Mohit => 4 × 15 => 60Kg and weight of Yogesh => 3 × 15 => 45Kg
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