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?
- 6
- 5
- 8
- None of these
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
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