Question

the sum of 2 numbers is 22 and their difference is 6. Find the numbers​

Answer 1

Step-by-step explanation:

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Answer 2

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Let the numbers be x and y.

$\sf \: x + y = 22$

$\sf \implies \: y = 22 - x$

According to the question

$\sf \: x - y = 6$

$\sf \implies \: x - (22 - x) = 6$

$\sf \implies x - 22 + x = 6$

$\sf \implies x + x = 6 + 22$

$\sf \implies 2x = 28$

$\sf \implies x = \cancel \frac{28}{2}$

$\sf \implies x = 14$

$\sf \therefore \: x = 14$

$\sf y = 22 - x$

$\sf \implies y = 22 - 14$

$\sf \implies y = 8$

Hence, The two numbers are 14 and 8.