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The difference between two integers is 5. Their product is 500. Find the numbers.
Answer & Solution
Correct Answer:
Option
B
Let the integers be x and (x + 5)
Then,
$$\eqalign{ & \Leftrightarrow x\left( {x + 5} \right) = 500 \cr & \Leftrightarrow {x^2} + 5x - 500 = 0 \cr & \Leftrightarrow \left( {x + 25} \right)\left( {x - 20} \right) = 0 \cr & \Leftrightarrow x = 20 \cr} $$
So, the numbers are 20 and 25
Then,
$$\eqalign{ & \Leftrightarrow x\left( {x + 5} \right) = 500 \cr & \Leftrightarrow {x^2} + 5x - 500 = 0 \cr & \Leftrightarrow \left( {x + 25} \right)\left( {x - 20} \right) = 0 \cr & \Leftrightarrow x = 20 \cr} $$
So, the numbers are 20 and 25
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Login3x+6=x+20
3x-x=20-6
2x=14
X=14/2
X=7.