Question

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

Answer 1

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 2

`2x+5=13`

x=4

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`