Find the greater of the two numbers such that their sum is 200 and the difference of their squares is 8000.?
Answers
Let the two numbers be 'x' and 'y'
so according to the question,
x + y = 200-----------------(1)
x² - y² = 8000 ------------(2)
from eq(2) we can write,
(x + y)(x - y) = 8000
⇒ (200)(x - y) = 8000
⇒ (x - y) = 40 ----------------(3)
solving eq(1) and eq(3), we get
x= 120
putting x = 120 in eq(3), we get
y = x - 40
y = 120 - 40
⇒ y = 80
∴ x = 120 & y = 80
∴ the greatest number is x = 120
Answer:
The greatest number is 120
Explanation:
Let the two numbers be 'x' and 'y'
x + y = 200-----------------(1)
x² - y² = 8000 ------------(2)
(x + y)(x - y) = 8000
(200)(x - y) = 8000
x - y = 40 ----------------(3)
Adding equation(1) and equation(3) and solving, we get
x= 120
substituting the value, we get
y = x - 40
y = 120 - 40
y = 80
∴ x = 120 and y = 80
Hence, the greatest number is 120
Subtraction:
It is the process of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. The three numerical elements are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction method.
To learn more about subtraction visit:
brainly.in/question/51608484
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