exercise 7B
2. One number is 5 times another. If 18 is subtracted from the greater, the remainder will be 3 times the smaller. Find the numbers.
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Answer :
- The numbers are 9 and 45
Given :
- One number is 5 times another
- If 18 is subtracted from the greater , the remainder will be 3 times the smaller
To find :
- The numbers
Solution :
- Let the smaller number be x
Given, one number is 5 times another so,
- Greater number be 5x
If 18 is subtracted from the greater , the remainder will be 3 times the smaller so it becomes,
- 5x - 18 = 3x
According to question
➞ 5x - 18 = 3x
➞ 5x - 3x = 18
➞ 2x = 18
➞ x = 18/2
➞ x = 9
Finding the numbers :
➞ Smaller number = x
➞ Smaller number = 9
➞ Greater number = 5x
➞ Greater number = 5(9) = 45
Hence , The numbers are 9 and 45
Verification :
➞ 5x - 3x = 18
➞ 5(9) - 3(9) = 18
➞ 45 - 27 = 18
➞ 18 = 18
Hence,Verified
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