71.3k views
4 votes
The sum of two number is 42 and it's different is a 8. find the number?​

User Nono
by
6.1k points

1 Answer

1 vote

Answer: 17 and 25

Explanation:

Let X and Y be the two numbers.

---------------

X + Y = 42 [sum of two numbers is 42]

X - Y = 8 [their difference is 8]

-------------------

Rearrange the last equation to

X = 8 + Y

Now enter that into the 1st equation:

X + Y = 42

(8+Y) + Y = 42

2Y = 34

Y = 17

Since X - Y = 8,

X = 8 + 17

X = 25

===

X + Y = ?

17 + 25 = 42 Checks

X - Y = ?

25 - 17 = 8 Checks

User RobCroll
by
6.5k points
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