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Solve the following. Show your solutions.
1. Karen is twice as old as Lori. Three years from now, the sum of their ages will
be 42. How old is Karen?
2. The sum of two numbers is 30. One number is 12 less than twice the other
number. Find the two numbers.​


Sagot :

Answer:

1.24 years old

2.14,16

Step-by-step explanation:

1.2x= Karen's age now

x= Lori's age now

2x+3= Karen's Age 3 years from now

x+3= Lori's Age 3 years from now

(2x+3) + (x+3) = 42

Combine Similar terms:

3x+6=42

3x=36 x=12 Years Old is the Age lori now

2x=24 Years Old is the Age Karen now

2.Equation:

x+y=30

x= 2y-12

Subtitute:

2y-12=30

Solve:

3y-12=30

3y=30+12

3y=42

y=14

Solve for x

x+14-30

x=30-14

x=16