Question

Grandfather distributed some amount among his grandchildren if there were 3 children less each one got rupees 60 more

Answer 1

it's a incomplete question

Answer 2

Answer:

Step-by-step explanation:

Let the total number of grandchildren = x

Let the amount received by each grandchild = Rs y

Total money distributed by grandfather = Rs xy

CASE 1:Number of grandchildren = x-3

amount received by each grandchild = Rs y+60

Total money distributed by grandfather = Rs xy

⇒x-3y+60 = xy

⇒xy + 60x - 3y - 180 = xy

⇒60x - 3y = 180

⇒20x - y = 60

1CASE 2:Number of grandchildren = x+2

amount received by each grandchild = Rs y-20

Total money distributed by grandfather = Rs xy

⇒x+2y-20 = xy

⇒xy -20x + 2y - 40 = xy

⇒-20x + 2y = 40

⇒-10x + y = 20

..........2Adding 1 and 2, we get 10x = 80

⇒x = 8

Put x = 8 in 1,

we get 20 × 8 - y = 60

⇒160 - y = 60

⇒y = 100

So, total number of grandchildren = 8

amount received by each grandchild = Rs 100