Kayla's age is 3 less than twice her brothers age. kayla's is 13. how old is her brother?

let x is her brother's age

Kayla's age is 3 less than twice her brothers age: 2x - 3

and

Kayla is 13

so

2x - 3 = 13

add 3 to both sides

2x - 3 + 3 = 13 + 3

simplify

2x = 16

divide both sides by 2

2x/2 = 16/2

x = 8

So her brother's age is 8 years old

proof:

2x - 3

= 2 (8) - 3

= 16 - 3

= 13

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.