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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Question : The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are:
Question : If the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number?
Question : The sum of the two numbers is 37 and the difference between their squares is 185, then the difference between the two numbers is:
Question : Directions: How many 8's followed by an even number and preceded by an odd number? 7, 8, 5, 6, 7, 8, 4, 3, 2, 1, 3, 8, 6, 4, 3, 7, 8, 4, 2, 1, 3, 8, 2, 8, 9
Question : The sum of twice a number and thrice its reciprocal is $\frac{25}{2}$. What is the number?
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