Recall Euler's theorem: if
, then

where
is Euler's totient function.
We have
- in fact,
for any
since
and
share no common divisors - as well as
.
Now,

where the
are positive integer coefficients from the binomial expansion. By Euler's theorem,

so that

B) 2 (5 + 7) = 2 × 5 + 2 × 7
Distributing the two multiples the five and seven and adds there them together.
Answer: roughly 4.2593
Step-by-step explanation:
920/216
put the equation through a calculator
approx. 4.2593
Answer:
Below in bold.
Step-by-step explanation:
Let x be George's age and y be Genemy's age.
x/y = 5/7
(x + 4)/ (y + 4) = 3/4
From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :
(x + 4)/ (1.4x + 4) = 3/4
3(1.4x + 4) = 4(x + 4)
4.2x + 12 = 4x + 16
0.2x = 16 -12 = 4
x = 4/0.2 = 20 = George's age.
So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.