Asad has 20 sweets and Ahsan has 55. How many sweets should Asad gives to Ahsan so that Ahsan has four times as many sweets as Asad?
Asad has 20 sweets and Ahsan has 55. How many sweets should Asad gives to Ahsan so that Ahsan has four times as many sweets as Asad?
Explanation
Let's say Asad gives x sweets to Ahsan.
Then, Asad will have 20 - x sweets left.
And Ahsan will have 55 + x sweets.
We want Ahsan to have four times as many sweets as Asad, so we set up the equation:
55 + x = 4(20 - x)
Simplifying the equation, we get:
55 + x = 80 - 4x
Add 4x to both sides:
55 + 5x = 80
Subtract 55 from both sides:
5x = 25
Divide by 5:
x = 5
So Asad should give 5 sweets to Ahsan.
Then, Asad will have 20 - 5 = 15 sweets.
And Ahsan will have 55 + 5 = 60 sweets.
Indeed, Ahsan will have four times as many sweets as Asad: 60 = 4 × 15.
The correct answer is: 5