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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 ?Options15 & 1013 & 8 12 & 714 & 9

Question

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 ?Options15 & 1013 & 8 12 & 714 & 9

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Solution

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 = -2.

However, the numbers cannot be negative. So, there seems to be a mistake in the problem or the options provided. None of the options match the solution.

This problem has been solved

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