Select the correct answerDifference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?Options13 & 8 12 & 715 & 1014 & 9

Let's solve this step by step:

1. Let's denote the smaller number as x and the larger number as y. According to the problem, we know that y - x = 5.

2. The problem also states that 4y - 6x = 6.

3. Now we have a system of two equations, and we can solve it. Let's express y from the first equation: y = x + 5.

4. Now we can substitute y in the second equation: 4(x + 5) - 6x = 6.

5. Simplify this equation: 4x + 20 - 6x = 6.

6. Simplify further: -2x + 20 = 6.

7. Solve for x: x = (20 - 6) / 2 = 7.

8. Substitute x = 7 into the first equation to find y: y = 7 + 5 = 12.

So, the numbers are 7 and 12. The correct answer is 12 & 7.

Let's solve this step by step:

1. Let's assume the two numbers are x and y, where x is the greater number and y is the smaller number. According to the problem, the difference between the two numbers is 5. So, we can write this as:

   x - y = 5 -----(equation 1)

2. The problem also states that six times the smaller number (6y) lacks by 6 from four times the greater number (4x). We can write this as:

   4x - 6y = 6 -----(equation 2)

3. Now we have a system of two equations, and we can solve it. Let's multiply equation 1 by 6 and equation 2 by 1:

   6x - 6y = 30 -----(equation 3) 4x - 6y = 6 -----(equation 4)

4. Subtract equation 4 from equation 3:

   (6x - 4x) = (30 - 6) 2x = 24 x = 24 / 2 x = 12

5. Substitute x = 12 into equation 1:

   12 - y = 5 y = 12 - 5 y = 7

So, the two numbers are 12 and 7. Therefore, the correct answer is 12 & 7.