Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The two inside angles will sum to 180°.
The top to angles are equal.
Think about this as what if both of the parallel lines were intersected by a perpendicuar line. Every angle would be a right triangle 90°. The inside angles will sum to 180° and the opposite angles are again equal.
(2x + 18) + (8x + 12) = 180
10x + 30 = 180
10x = 150
x = 15
-------------------------
(3y - 18) = (8x + 12) x = 15
(3y - 18) = (8(15) + 12)
(3y - 18) = (120 + 12)
(3y - 18) = 132
3y = 132 + 18
3y = 150
y = 50
Answer:
a) 41
b) -31
c) 25/3
Step-by-step explanation:
The instructions explain what a function is pretty clearly.
Basically, whatever is in the parentheses next to the 
, you plug in to the expression that is the function.
ex: 
Okay, onto the problems:
a) 
First, plug in 14, since that is given:
and solve.
So, 41 is the answer to a.
b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.
-31 is the answer to b.
c) For this problem, you have to do a bit of algebra.
First, take the base function f(x):
Then, set f(x) = 24:
and solve by isolating x.
25/3 is the answer to c.
(z • 5) + 8
You can edit it in other ways like 5z + 8 if you want
Answer:
how many children do you have?
Step-by-step explanation:
you said ask a question
