Question : Two positive whole numbers are such that the sum of the first number and twice the second number is 8, and their difference is 2. The numbers are:
Option 1: 7 and 5
Option 2: 6 and 4
Option 3: 4 and 2
Option 4: 3 and 5
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Correct Answer: 4 and 2
Solution :
Given: The sum of the first number and twice the second number is 8, and their difference is 2
Let the two numbers be x and y.
x + 2y = 8 ..............................(i)
x – y = 2 ...............................(ii)
Subtracting equation (ii) from (i)
3y = 6
⇒y =2
Put y=2 in the equation (ii)
x–2=2
⇒ x=4
x = 4 and y = 2
Hence, the numbers are 4 and 2.
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