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LiRa [457]
3 years ago
14

The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is Sam?

Mathematics
2 answers:
abruzzese [7]3 years ago
5 0

Answer : The equation complete the system is, P-5=3S-15 and the Sam is 10 years old.

Step-by-step explanation :

As we are given that sum of Pete's and Sam's ages is 30. Thus, the equation will be:

P+S=30     ..............(1)

P=30-S        ..............(A)

And, five years ago, Pete was 3 times as old as Sam. Thus, the equation will be:

(P-5)=3\times (S-5)     ..............(2)

P-5=3S-15

Now substituting equation A in equation 2, we get:

(P-5)=3\times (S-5)

(30-S-5)=3\times (S-5)

30-S-5=3S-15

30+15-5=3S+S

40=4S

S=\frac{40}{4}

S=10

Now put the value of 'S' in equation A, we get the value of 'P'.

P=30-S

P=30-10

P=20

The age of Pete is, 20 and the age of Sam is, 10

Thus, the equation complete the system is, P-5=3S-15 and the Sam is 10 years old.

RUDIKE [14]3 years ago
4 0
P-5=3s-15 because Pete is 20 and Sam is 10. 20-5= 15 and 3(10)-15 also equals 15. The answer is C.
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Step-by-step explanation:

Deep explanation about a confidence interval

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The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

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