BabyGraeidn
Answered

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Your little sister Molly is one third the age of your mom. In 12years,Molly will be half the age of your mom.how old is Molly and your mom now?solution

Sagot :

Present ages:
Mom: x
Molly: 1 (x)
          3

In 12 years (+12):
Mom:  x + 12
Molly: 1 (x) + 12
          3

Equation: In 12 years, Molly will be half age of Mom:

[tex] \frac{x + 12}{2} = \frac{1}{3} x +12[/tex]

[tex]2( \frac{1}{3}) (x)+ 2(12) = x + 12[/tex]

[tex] \frac{2}{3} x+24 = x+12[/tex]

[tex] \frac{3}{3} x- \frac{2}{3} x = 24 - 12[/tex]

[tex] \frac{1}{3} x = 12[/tex]

[tex]( \frac{3}{1} )( \frac{1}{3} )x = 12( \frac{3}{1} )[/tex]

x= 36

Present ages:
Mom: x = 36 years old
Molly: 1/3 (36) = 12 years old