Question

If I double a number and add three times a second number the answer is 1. If I multiply the first number by three and take away twice the second number the answer is 8. find the numbers

Answer 1

Answer:

12 and 6 i believe

Step-by-step explanation:

Answer 2

Given: When a number is doubled and three times the second number is added, the answer is 1. Also, first number when multiplied by 3 and subtracted by twice the second number is 8.

To find: Both the numbers

Explanation: Let the numbers be x and y.

According to question, double the first number and three times a second number when added is 1. Therefore:

2x+3y = 1....(i)

Multiplying this equation with 2, we get:

4x+ 6y =2....(ii)

When two times the second number is subtracted from three times the first number it results in 8.

3x-2y= 8....(iii)

Multiplying this equation with 3, we get:

9x-6y= 24....(iv)

Adding (ii) and (iv),

13x =26

=> x=2

Putting x=2 in equation (iv):

18-6y= 24

=>-6y =6

=> y= -1

Therefore, the numbers are 2 and -1.