Let the larger and smaller number be x and y respectively.According to the given question,However, the larger number cannot be negative as 8 times of the larger number will be negative and hence, the square of the smaller number will be negative which is not possible.Therefore, the larger numb...
The difference of the squares of two positive integers is 180. The square of the smaller number is 8 times the larger, find the numbers. View Solution The difference of squares of two numbers is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers...
Example: 2The sum of two numbers is 12 and the sum of their squares is 80. Find the numbers. 相关知识点: 试题来源: 解析 Solution:Let the required numbers be 'x'and 'y'.From the given condition,x+y=12or,y=12-X…(i)Again,from the given condition,x+y=80or,x+(12-x)=80or,x...
To solve the problem of finding two consecutive numbers whose squares differ by 31, we can follow these steps:1. Define the Consecutive Numbers: Let the first consecutive number be \( x \). Therefore, the next consecutive nu
On the Representation of Numbers as the Sum of Two Squaresdoi:10.2307/2968441M. KabaThe American Mathematical Monthlywith M. Kaba), On the representation of numbers as the sum of two squares, Am. Math. Monthly vol. 16 (1909) pp. 85-87....
9. The numbers 1 and 8 have been put into two squares of a 3 x3 table, as shown in the diagram helow. The remaining seven squares are to be filled with the numbers 2, 3, 4, 5, 6, 7 and 9, using each exactly once, such that the sum of the numbers is the same in any ...
One number is 2 more than another. The difference between their squares is 32. What are the numbers?Equations:Almost all the day-to-day problems can be easily solved by converting the problem statement into a mathematical expression. First, we have to represent th...
The variance of eight numbers is 50 and the sum of squares of the numbers is 600. Find the sum of the numbers. 相关知识点: 试题来源: 解析 Solition Varians So (5x^2)/N-((2x)/N)^2=50 (600)/8-(2/8)^2=50 75-(2/8)^2=50 广=75—50 =5 x=40 Hence, the sum of the ...
Answer to: Two consecutive positive even numbers are each squared. The difference of the squares is 60. What is the sum of the original two...
1. The sum of the two numbers is 8: x+y=8(Equation 1)2. The difference of their squares is 32: x2−y2=32(Equation 2) Step 3: Use the Difference of Squares FormulaWe can use the identity for the difference of squares:x2−y2=(x+y)(x−y)Substituting Equation 1 into this...