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Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will be three times as old as Carla. How old is Sam?

Sagot :

Indrawboyidn

Carla Age = 0

Sam Age = 5

Kit age = 10

Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

[tex]\large {\boxed {\bold {ax = b}}[/tex]

or

ax + b = c,

where a, b, and c are constants, x is a variable

Kit (K) is twice as old as his friend Sam (S). Sam is 5 years older than Carla (C). In 5 years, Kit will be three times as old as Carla.

We can translate to equation :

  • Present ages:

K = 2S ... Equation 1

S = 5 + C .... Equation 2

  • In 5 years:

K+5 = 3(C+5).... Equation 3

We substitute equation 1 and 2 into equation 3

[tex]\rm K+5=3(C+5)\\\\2S+5=3(C+5)\\\\2(5+C)+5=3C+15\\\\10+2C+5=3C+15\\\\2C+15=3C+15\\\\3C-2C=15-15\\\\C=0[/tex]

From equation 2: S = 5 + 0 ⇒S = 5

From equation 1: K = 2. 5 ⇒ K = 10

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