Question

Aman divided $9.000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the

son received $1.000 more than the daughter. How much did each receive?
Ifx is the amount the wife received, then which of the following expressions represents the amount received by the
son?​

Answer 1

Amount received by Aman's Wife = $4000

The expression which shows the amount received by his son = x+ 10000

Explanation:

The total amount Aman has = $9000

Let us assume the amount his daughter receives = $x

So, the amount his wife received = 2 x (Amount received by Daughter)

= 2 x ($x) = 2 x

And the amount his son received =$1000 + (Amount received by Daughter)

= 1000 x ($x) = x+ 10000

According to the question:

Amount of ( Daughter's + Wife's + Son's) share = $9000

x + 2x + x + 10000 = $9,000

⇒4 x = 9000 - 1000

or, 4 x = 8000

⇒ x = 8000 / 4 = 2,000

⇒ x = $2,000

So, the amount received by Aman's Wife = 2 x + 2 ($2000) = $4000

The expression which shows the amount received by his son = x+ 10000