Subject
Quantitative Aptitude
Topic
Number
The difference between two positive numbers is 3. If the sum of their squares is 369, then the sum of the numbers is
The difference between two positive numbers is 3. If the sum of their squares is 369, then the sum of the numbers is
ক)
81খ)
33গ)
27ঘ)
25ঙ)
24Explanation
Let the two numbers be a and b Now as per the given information, a – b = 3 ….(1) a 2 + b 2 = 369 …..(2) From (1), a = b + 3 Put the value of a in equation (2) a 2 + b 2 = (b + 3) 2 + b 2 = b 2 + 9 + 6b + b 2 = 369 ⇒ 2b 2 + 6b + 9 = 369 ⇒ 2b 2 + 6b – 360 = 0 ⇒ b 2 + 3b – 180 =0 ⇒ (b - 12) (b + 15) = 0 ⇒ b = 12 (b is not equal to 15 because b is positive) Put the value of b in equation (1) ∴ a = 12 + 3 = 15 Thus sum of two numbers = a + b = 15 + 12 = 27.Related questions
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:A number is as much greater than 36 as the less than Find the number.If one-third of one-fourth of a number is 15, then three-tenth of that number is:If the number 5 * 2 is divisible by 6, then * =?কাজের দিন ২ টাকা পাওনা এবং অনুপস্থিতির দিন ৫০ পয়সা জরিমানা এই শর্তে সেপ্টেম্বর মাসে ৪০ টাকা পেল। সে কত দিন কাজে উপস্থিত ছিল?476 ** 0 is divisible by both 3 and The non-zero digits in the hundred's and ten's places are respectively:The sum of two numbers is 25 and their difference is Find their product.