Question

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?
`(1)/(7)`

Answer 1

Kamila's age now is 40 years

Step-by-step 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

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

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