Question

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.​

Answer 1

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