mayethskie
Answered

Maligayang pagdating sa Imhr.ca, ang pinakamahusay na platform ng tanong at sagot para sa mabilis at tumpak na mga sagot. Tuklasin ang isang kayamanan ng kaalaman mula sa mga propesyonal sa iba't ibang disiplina sa aming komprehensibong platform. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto na dedikado sa pagbibigay ng tamang impormasyon.

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 :

indrawboy

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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