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3 years ago

13

Solve

+^1" align="absmiddle" class="latex-formula">

A. 1/4

B. 1/2

C. 2

D. 4

1 answer:

vichka [17]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

27 = 3 ^(4x+1)

Rewriting 27 as 3^3

3^3 = 3 ^(4x+1)

Since the bases are the same, the exponents are the same

3 = 4x+1

Subtract 1

3-1 = 4x+1-1

2 =4x

Divided by 4

2/4 = 4x/4

1/2 =x

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Answer:

Part a) Camilo is 34 years old and Juan is 28 years old

Part b) The difference between Camilo's age and Juan's age is 6 years

Part c) The sum of the ages of Camilo and Juan not coincide with the age of Andres' grandmother

Step-by-step explanation:

<u><em> The question in English is</em></u>

If Camilo is 6 years older than Juan, Juan is 7 years younger than Andrés and Andrés is 35 years old .

Part a) How old is Camilo and how old is Juan? raises the equation.

Part b) What's the difference between Camilo's age and Juan's age?

Part c) If Andres's grandmother is 65 years old, does the sum of the ages of Camilo and Juan coincide with the age of Andres' grandmother?

Part a) How old is Camilo and how old is Juan? raises the equation.

Let

x -----> Camilo's age

y -----> Juan's age

z -----> Andres's age

we know that

$x=y+6$ -----> equation A

$y=z-7$ -----> equation B

$z=35$ -----> equation C

<em>Find the value of y</em>

substitute the value of z in the equation B

$y=35-7=28$

<em>Find the value of x</em>

substitute the value of y in the equation A

$x=28+6=34$

therefore

Camilo is 34 years old and Juan is 28 years old

Part b) What's the difference between Camilo's age and Juan's age?

Subtract Juan's age from Camilo's age

so

$x-y=34-28=6\ years$

Part c) If Andres's grandmother is 65 years old, does the sum of the ages of Camilo and Juan coincide with the age of Andres' grandmother?

Adds Camilo's age and Juan's age

$x+y=34+28=62\ years$

$62\ years\neq 65\ years$

therefore

The sum of the ages of Camilo and Juan not coincide with the age of Andres' grandmother

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