Math, asked by rishabh7968, 1 year ago

two numbers are such then their sum is 55 and product is 736 .the number is

Answers

Answered by RishabhBansal
0
Hey!!!

let the numbers be x and y.

ATQ,

=> x + y = 55
=> x = 55 - y
and

=> xy = 736

=> y(55 - y) = 736

=> 55y - y² = 736

=> y² - 55y + 736 = 0

=> y² - 23y - 32y + 736 = 0

=> y(y - 23) - 32(y - 23) = 0

=> (y - 23)(y - 32) = 0

Thus y = 23 or y = 32

Thus x = 55 - 23
=> y = 32

Thus the numbers are 23 and 32.

Hope this helps
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