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Find two consecutive positive intiger whose …

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Find two consecutive positive intiger whose sum is 21 and products is 110

Posted by Jhon Rathi 4 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Karan Jaiswal 4 years, 8 months ago

Formula

0Thank You

Gaurav Seth 4 years, 8 months ago

Let

first number = x

since this no are consecutive so

second number = x+1

now according to question

x (x+1) = 110

x² + x = 110

x² + x - 110 = 0

by using factorization method

x² + 11x - 10x -110 = 0

x(x+11) -10(x+10) = 0

(x+11) (x-10) = 0

∵ x = -11 and x = 10

The two numbers would be 10 and 11.

10 x 11 = 110

10 + 11 = 21

1Thank You

ANSWER

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