Respuesta :
Answer:
The ages of Paul and Selena are 13 and 7 years old.
Step-by-step explanation:
Age of Paul = x
Age of Selena = x -6
Age of Paul and Selena in 15 years:
x + 15 = 4 (x - 6)
x + 15 = 4x - 24
x - 4x = -24 - 15
- 3x = -39
x = 13
Paul now is 13 years old and Selena is 7 years old. In 15 years, Paul will be 28, that is 4 times the present age of Selena.
Their present ages :
Paul = 13
Selena = 7
Further Explanation
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex] \large {\boxed {\bold {ax = b}} [/tex]
or
ax + b = c,
where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex] \large {\boxed {\bold {ax + bx = c}}} [/tex]
x, y = variable
In the statement of the task:
- Selena is 6 years younger than Paul.
can be stated in the equation:
Selena (S) = Paul (P) -6 ⇒S = P-6 ⇒equation 1
- In 15 years, Paul will be 4 times the age that Selena is now.
The equation: 15 + P = 4S⇒equation 2
Equation 1 is substituted into equation 2 so that it becomes:
15 + P = 4 (P-6)
So the solution is:
15+P = 4P-24
15+24 = 3P
39 = 3P
P = 13
From equation 1
S = P - 6
S = 13 - 6
S = 7
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Keywords : present age, Selena, Paul
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