Carlos is five years older than twice his sister's age. carlos is 13.which equation and solution correctly identifies his sister's age?2x - 5 = 13; x = 92x 5 = 13; x = 42x - 5 = 13; x = 42x 5 = 13; x = 9
c=carlo=13
x=sister
carlos (13) is (=) 5 years older (5+) twice sisters age (2 times x)
13=5+2x
mius 5 both sides
13-5=5-5+2x
8=0+2x
8=2x
divide both sides by 2
4=x
2x+5=13
x=4
Answer:
\(2x+5=13\)
x=4
Step-by-step explanation:
Carlos is five years older than twice his sister's age. carlos is 13.
Let x represents the sister's age
Carlos age = twice of sisters age plus 5 years
twice of sister's age means 2 times sister's age
Carlos age = \(2x+5\)
Now Carlos age is 13
So the equation is \(13= 2x+5\)
Now we solve for x to find the solution
\(2x+5=13\)
Subtract 5 from both sides
\(2x=8\)
Divide both sides by 2
\(x=4\)