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soldi70 [24.7K]
2 years ago
6

Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than

three times the smaller number, . Kim's description of the two numbers was: Five times the smaller number decreased by 7 is the larger number. Which equation represents the situation?
Mathematics
1 answer:
irina1246 [14]2 years ago
8 0

Answer:

Sam's description = 3x+3, Kim's description =  5x-7

Step-by-step explanation:

Given:

Kim and Sam were each given the same pair of numbers.

Sam's description of the two numbers was:

The larger number is 3 more than three times the smaller number.

Kim's description of the two numbers was:

Five times the smaller number decreased by 7 is the larger number.

Question asked:

Which equation represents the situation?

<u>Solution:</u>

Let smaller number = x

According to Sam's description of the two numbers, the equation will be:-

Larger number = 3 more than three times the smaller number

                         = 3x+3\ (eq1)

According to Kim's description of the two numbers was, the equation will be:-

Larger number = Five times  decreased by 7

                         = 5x-7\ (eq2)

By equating  both equation:-

5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\  \\ x=5

Smaller number = x = 5

Larger number = 3\times5+3=15+3=18

Therefore, equations represents the situation are 3x+3 and 5x-7

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Third term = t3 = ar^2 = 444           eq. (1)

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By solving (1) and (2) we get,

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Therefore t6 = ar^5

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                       = 111(32)

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