## q3: Shikha is 30 years older than her son. I year ago she was four times as old as her son. Find their present a

Question

q3: Shikha is 30

years older than her son. I year ago she was
four
times as old as her son. Find
their present ages.​

in progress 0
1 month 2021-08-14T05:48:28+00:00 2 Answers 0 views 0

1. Let , the age of son be ” x “

First Condition :

Shikha is 30 years older than her son

Thus ,

Shikha’s age = ” x + 30 “

Second Condition :

1 year ago she was four times as old as her son

Thus ,

(x + 30 – 1) = 4(x – 1)

x + 29 = 4x – 4

33 = 3x

x = 33/3

x = 11 The present ages of shikha and her son are 11 and 41  Step by step explanation:

Given:

• Shikha is 30 years older than her son.
• 1 year ago she was four times as old as her son.

To Find:

• Their present ages.

Let us take the present age of son be x .

Then the present age of Shikha will be (x+30) .

Now ,

• Age of Shikha 1 year ago = (x+30)-1=x+29.
• Age if son one year ago = (x-1).

Atq,      Hence

• Present age of Shikha = x+30 = 11+30=41 years.
• Present age of son = x = 11 years.