Answer:
x=16
Step-by-step explanation:
We are given that

we have to solve this equation for x
in order to do that we need to isolate x first
hence
subtracting 11 from both sides we get


Now we square on both sides we get



hence x =16
Answer: 46 years
Step-by-step explanation:
Let the father's age be x and the son's age be y, then 3 years ago:
Father = x - 3
son = y - 3
Then , from the first statement :
x - 3 = 3 ( y - 3 )
x - 3 = 3y - 9
x = 3y - 9 + 3
x = 3y - 6 .......................................... equation 1
In five years time
father = x + 5
son = y + 5
Then , from the second statement
x + 5 = 2 ( y + 5 )
x + 5 = 2y + 10
x = 2y + 10 - 5
x = 2y + 5 ........................ equation 2
Equating equation 1 and 2 , we have
3y -6 = 2y + 5
add 6 to both sides
3y = 2y + 5 + 6
subtract 2y from both sides
3y - 2y = 11
y = 11
substitute y = 11 into equation 1 to find the value of x
x = 3y - 6
x = 3(11) - 6
x = 33 - 6
x = 27
This means that the father is presently 27 years and the son is presently 11 years.
In four years time
father = 27 + 4 = 31
son = 11 + 4 = 15
sum of their ages in four years time will be
31 + 15 = 46 years
A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.
Answer:
A) Ms. Hynnes'
B) Mr. Charles'
Step-by-step explanation:
I start by finding the LCM (lowest common multiple) of 5, 9, and 7, which is 315. Then, to calculate the top number, I divide 315 by the denominator to determine how many times I need to multiply the numerator. For 5, it's 63, giving us a numerator of 126. For 9, it's 35, giving us a numerator of 140. For 7, it's 45, giving us a numerator of 135. I then compare the numbers to find the answer.