Question

Andy is twice as old as Kate. In 6 years, their ages will total 60. How old is each now?

Answer 1

A=2K
(A+6)+(K+6)=60

A represents Andy's age. K represents Kate's age. Solve the system of equations, using substitution is probably easiest.

Answer 2

first of all :
@BabeBri304
\[\huge{\textbf{Welcome to openstudy}}\]
Let the age of andy ------->x
Let the age of Kate-------->2x
after 6 years their ages is : x+6 and 2x+6 and given the total of their ages = 60
\[\huge{x+6+2x+6=60}\]
\[\huge{x+2x+12=60}\]
\[\huge{x+2x=48}\]
\[\huge{3x=48}\]
\[\huge{x=\frac{48}{3}=16}\] can u find the age of kate ?

Answer 3

@mathslover You got that backwards. Andy is twice as old as Kate, not vice versa.

Answer 4

Other than that, though, good explanation :)

Answer 5

Let the ages of Andy & Kate be x & y respectively.
then two eq are formed:-
x-2y=0
(x+6)+(y+6)=60

Answer 6

oops : sorry no problem here i go with the correct one
\[\huge{kate=2andy}\]
\[\huge{x=2y}\]
hence kate = 2y and andy = y
u will get y = 16 and x ? can u find this now

Answer 7

Solve it by elimination or substitution method:)

Answer 8

thank you

Answer 9

yw:)