Hector's father is 4 times as old as Hector and twice as old as Carlos . If Carlos is 24 years old , how many years old is Hector ?

Hector is
12
years old
Explanation:
Let
f
be father's age
Let
h
be Hector's age
Let
c
be Carlos's age
Given:
f
=
4
h

f
=
2
c

c
=
24
Solve for
f
:
f
=
2
(
24
)
=
48
Solve for
h
using
f
:
48
=
4
h

12
=
h

1. 0.3 •4 is the same as 4 groups of 0.32. 7•0.8 is the same as 7 groups of 0.83. it increases by 0.5 every time, so 0.5x4 it increases by 0.9 every time, so 0.9x5. 0.9•12=10.86. 0.47•5=2.35i can finish the next ones in a separate post