Question

the sun of the ages of a pair of twins and a set of triplets is 150 years. If their ages were to be interchanged the new sun would be 12o. How old are the triplets?

Answer 1

Respuesta:

Maybe you mean "sum" intead "sun"

The triplets are 42 years old each

Explicación paso a paso:

"x" is the age of twins each

"y" is the age of triplets each

( 2x + 3y = 150 ) ( 3 )    →      6x + 9y = 450

( 3x + 2y = 120 ) ( - 2 )   →   - 6x - 4y = - 240

                                            0 + 5y = 210

y = 210/5

y = 42  ( years old of the triplets )

First we isolate the "x" variable from first equation

x = ( 150 - 3y ) / 2

x = ( 150 - (3 ) ( 42 ) ) / 2

x = ( 150 - 126 ) / 2

x = 24/2

x = 12  ( age of twins each )