Two number are in the ratio 5:4.If 5bis added to the greater number and 5 is. subtracted from the smaller one,then their ratio of 2:1.find the number
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Answered by
1
Let the numbers be x and 3x
Then,
3x+5x+5=21
⇒2x+10=3x+5
⇒x=5
Hence, the numbers are 5 and 15
∴ Sum of numbers = 20
Answered by
9
- Ratio of two numbers = 5:4
- Ratio (After adding and subtracting 5) = 2:1
- The numbers
Put x in the ratio,
- First number = 5x (Greater number)
- Second number = 4x (Smaller number)
- First number (After adding 5) = 5x + 5
- Second number (After subtracting 5) = 4x – 5
According to question,
After cross multiplication,
Now:
- First number = 5x = 25
- Second number = 4x = 20
- The numbers are 25 and 20 respectively
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