. The difference between two numbers is 8. If 2 is added to the greater number, the result will be three times the smaller. What are the numbers?
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Answer:
Let the smaller number be x.
The difference between the two numbers = 8.
∴ The bigger number = x + 8.
Step-by-step explanation:
According to the given condition,
(x + 8) + 2 = 3x
⇒ x + 8 + 2 = 3x
x + 10 = 3x
⇒ 10 = 3x – x (Transposing x to RHS)
10 = 2x
⇒ = x (Transposing 2 to LHS)
5 = x
∴ x = 5
The smaller number = x = 5
The bigger number = x + 8 = 5 + 8 = 13
∴ The two numbers are 5 and 13.
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