Math, asked by StudiousStudent5045, 1 year ago

Find the greater of the two numbers such that their sum is 200 and the difference of their squares is 8000.?

Answers

Answered by prerna6994
20

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

Answered by aakashshaw305
0

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

brainly.in/question/1774967

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