VeronikaQ742836 VeronikaQ742836
  • 26-10-2022
  • Mathematics
contestada

Kamla is 4 times as old as her son. 5 years ago her son was 1/7 of her age. What is kamla's age now? [tex] \frac{1}{7} [/tex]

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TravonneN727675 TravonneN727675
  • 26-10-2022

Answer

Kamila's age now is 40 years

Explanation

Let the age of her son be x

Kamla age is 4 times older than her son implies 4x

Her son age 5 years ago will be = x - 5

And Kamla's age % years ago will be = 4x - 5

To find Kamila's age now, we must firstly calculate the value of x as follows

[tex]\begin{gathered} x-5=\frac{1}{7}(4x-5) \\ 7(x-5)=4x-5 \\ 7x-35=4x-5 \\ 7x-4x=35-5 \\ 3x=30 \\ x=\frac{30}{3} \\ x=10 \end{gathered}[/tex]

Therefore, Kamila's age now = 4(10) = 40 years

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