Question

The sum of two numbers is 30. If three times the smaller number is equal to two times the bigger one, find the numbers. ​

Answer 1

• Let the smaller number be x and the bigger number be y.
• Therefore, 3x = 2y
  `= > x = (2y)/(3)`
  `x + y = 30 \\ = > (2y)/(3) + y = 30 \\ = > (2y + 3y)/(3) = 30 \\ = > (5y)/(3) = 30 \\ = > y = (30 * 3)/(5) \\ = > y = 18`
• Therefore, the smaller number = 30 - 18 = 12

Answers:

The smaller number is 12.

The bigger number is 18.

Hope you could understand.

If you have any query, feel free to ask

Answer 2

12 and 18

Explanation:

trial and improvement

10 and 15 too small

12 and 18 exact 12 x 3=36 18 x 2=36