There are numerous important information's already given in the question. Based on these information's, the answer can be deduced.
Let us assume the age of Daniel = x years
Let us assume the age of Kevin = y years
Then
y = 4x
and
y = x + 6
So
4x = x + 6
4x - x = 6
3x = 6
x = 6/3
= 2 years
So
Age of Kevin = 4 * 2 years
= 8 years
ANSWER
EXPLANATION
Let
Then the equation becomes:
Factor:
or
This implies that
or
Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
