Jack is 27 years older than Susan. In 5 years, he will be 4 times as old as she is.
1 answer:
Answer:
susan´s age=4
jack´s age=31
Step-by-step explanation:
Hello!
To solve the first part of this problem we must propose a system of equations of 2 x2, that is to say two equations with two unknowns where
J = is the age of jack
S = susan's age
with the above the following two equations are inferred
ecuation 1
J=S+27
ecuation 2
(J+5)=4(s+5)
J=4S+20-5
J=4S+15
now to solve we subtract equation 1 from equation 2 as follows
J=4S + 15
-
J=S + 27
___________
0=4S-S+15-27
0=3S-12
susan is 4 years old
now we use the ecuation number 1
J=S+27
J=4+27=31
jack is 31 years old
b.
Finally, to verify that the answer is correct, we replace the ages of jack and susan in equation 2.
(J+5)=4(s+5)
(31+5)=4(4+5)
36=36
as the equation is the same means that our answer is correct
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That's a 33% increase.
I calculated this using the formula:
Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.
I calculated this using the formula:
Where n = the new value (16 in your question), o = the old value (12 in your question) and the result is outputted as a percent increase. You can check that this is correct by finding 33% of 12, adding the result to 12, and checking that the result equals your "new" number.
Note that 33% is only an approximation as your question requires a number rounded to the nearest whole.
Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
So by midpoint theorem length of AC is twice of DF.
Therefore, the length of AC is 32.