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

Answer:

12 and 18

Step-by-step explanation:

trial and improvement

10 and 15             too small

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

Answer 2

• Let the smaller number be x and the bigger number be y.
• Therefore, 3x = 2y $= > x = \frac{2y}{3}$$x + y = 30 \\ = > \frac{2y}{3} + y = 30 \\ = > \frac{2y + 3y}{3} = 30 \\ = > \frac{5y}{3} = 30 \\ = > y = \frac{30 \times 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.

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