Question

a women leaves one fourth of her estate to her son and one third of her estate to her daughter.If she leaves the balance $1000 to charity,how large is her estate in dollars?

Answer 1

Solution :-

Let the total value of her estate be $ x

Then, according to the question.

Given to the son = 1/4th part of x

= x/4

Given to the daughter = 1/3rd part of x 

= x/3

Remaining balance left for charity = $ 1000

⇒ x/1 - (x/4 + x/3) = 1000 

Taking the LCM of the denominator and then solving it.

⇒ [12x - (3x + 4x)]/12 = 1000

⇒ (12x - 7x)/12 = 1000

⇒ 5x/12 = 1000

⇒ 5x = 12*1000
 
⇒ 5x = 12000

⇒ x =12000/5

⇒ x = 2400 

Hence, the total value of her estate is $ 2400.

Answer.
 

Answer 2

Let the total value of woman estate be $ x.


She gave to her son = 1/4 of x = x/4

She gave to her daughter = 1/3 of x = x/3

Balance remain left for charity = $ 1000


x - (x/4 + x/3) = 1000

L.C.M = 12

[12x - (3x + 4x)]/12 = 1000

(12x - 7x)/12 = 1000

5x/12 = 1000

5x = 12 × 1000

x = (12× 1000)/5

x =12 × 200

x = 2400

Hence, the total value of her estate = $ 2400.

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Hope this will help you....