Question

Explain.
What are these two numbers whose sum is 44 and difference is 8.
mann
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Answer 1

Step-by-step explanation:

x + y = 44, x = 44 - y.

x - y = 8, x = y-8

Now you can set (y - 8) equal to (44 - y) since they both equal x.

y - 8 = 44 - y

y = 52 - y

2y = 52

y = 26.

Ok, so you know y is 26. Plug it into an equation to solve for x.

x + 26 = 44.

x = 18.

Check the work. 18 + 26 = 44. 26 - 18 = 8. Done.

Answer 2

Answer:

$\large{\underline{\boxed{\sf 26 \: \: and \: \: 18}}}$

Step-by-step explanation:

Let the two numbers be x and y respectively.

According to the question;

• x + y = 44 .... (i)
• x - y = 8 .... (ii)

Adding both the equations (i) and (ii) -

⇒ x + y + x - y = 44 + 8

⇒ 2x = 52

⇒ x = $\sf \dfrac{52}{2}$

⇒ x = 26

Substituting the value of x in (i)

⇒ x + y = 44

⇒ 26 + y = 44

⇒ y = 44 - 26

⇒ y = 18

Hence, the required numbers are 26 and 18.