the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer: 30.5 and 35.5

Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

x=y+5

x+y=66

Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

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Armando put $78 into a CD that pays 4.9% interest. According to the rule of

FromTheMoon [43]

It will take 14.7 years for Armando's money to double.

Option C

<u>Explanation:</u>

The rule of 72 is generally used to estimate the number of years required to double the invested money at a given annual rate of return. And alternatively to find the number of years required to double the money at a given interest rate, we have to just divide the interest rate into 72.

Here, the interest rate is 4.9%. Therefore, it would be as follows

$\Rightarrow\frac{72}{4.9} = 14.7 \text{ years }$