Question

Emilio's age is four years more than half the age of his sister Rosa. The sum of their ages is 28. How old are Emilio and Rosa?

Emilio is 20 and Rosa is 8.
Emilio is 12 and Rosa is 16.
Emilio and Rosa are both 14.
Emilio is 7 and Rosa is 21.

Answer 1

If Rosa's age is x, then Emilio's age is:

\(\Large \color{MidnightBlue}{\Rightarrow 4 + {x \over 2} }\)

Let's form an equation here, okay?

\(\Large \color{MidnightBlue}{\Rightarrow x + 4 + {x \over 2} = 28 }\)

\(\Large \color{MidnightBlue}{\Rightarrow x + {x \over 2} = 24 }\)

\(\Large \color{MidnightBlue}{\Rightarrow {3x \over 2} = 24 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 3x = 48 }\)

\(\Large \color{MidnightBlue}{\Rightarrow x = 16 }\)

Rosa is 16 in only one choice :P

Answer 2

ok thanks parthkohli

its B

Answer 3

Haha yes.

Answer 4

where did 3x come from?