Two numbers are in the ratio 5:6. If the smaller one is decreased by 5 and the other is increased by 3, the new ratio is 2:3. Find the number.​

Smallest Number = 35

Other Number  = 42

Step-by-step explanation:

Let the smaller number be x.

Let the other number be y.

Given:

x : y = 5 : 6

That is,

Next: Let the smaller number be reduced by 5, x - 5

        Let the other number be increased by 3, y + 3

Given : (x - 5) : (y + 3) = 2 : 3

That is,

After 5 months, they would both have the same cost. If you were to cancel after 9 months, you would cancel $320 for the first option and $360 for the second option.

To solve this, you need to create an equation. You get $50+30x and let x=number of months. This would tell you how much you need to pay for option 1. In option 2, you would have $40x. This is because there is no setup fee and so there would only be the monthly cost.We then set thos equations both equal to each other because the first question asks for the options to be the same price. For the second question, you would need to substitute 9 for the x in those equations. That would have you find out which is more expensive.