Question

At the time of their marriage five years ago, the average age of Sheldon and Amy was 24 years. The present average age of Sheldon, their child, Jim is 20 years. How many years after the marriage was Jim born?​

Answer 1

Answer:

Jim was born after 3 years of marriage

Step-by-step explanation:

• Let the present age of Sheldon is $x$ and Amy is $y$

Step 1 of 2:

• 5 years ago the age of Sheldon was$x-5$  and Amy was $y-5$
• their average age was 24.

        $\frac{x-5+y-5}{2} =24\\x+y-10=48\\x+y=58$

Step 2 of 2:

• Now Jim is born. Age of Jim is J
• Average age of the family is 20.

      $\frac{x+y+J}{3} =20\\x+y+J=60\\J+58=60\\J=2$

• Thus Jim was born 3 years after marriage to have age 2 years

Answer 2

Given:

Average age of Amy and Sheldon = 24 years

Average age of their child and Sheldon = 20 years

To Find:

How many years of after marriage was their child born

Explanation:

Let the present age of Amy and Sheldon be y

Now 5 years ago the age Amy would be (y - 5)and Sheldon was (x- 5) would be.

Their average age was = 24

Therefore  according to this

[(x - 5) + (y - 5)]/2 = 24

x + y - 10 = 48

(x + y) = 58

Then for Jim

Average age of the family = 20

(x + y + J)/3 = 20

(x + y + J) = 60

J = 60 - 58

J = 2

Jim would be born 2 years after marriage.