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Bas_tet [7]
3 years ago
9

The sum of two number is 42 and it's different is a 8. find the number?​

Mathematics
1 answer:
NeTakaya3 years ago
6 0

Answer:  17 and 25

Step-by-step 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

<u>Y = 17</u>

Since X - Y = 8,

  X = 8 + 17

  <u>X = 25</u>

===

X + Y = ?

17 + 25 = 42  <em>Checks</em>

X - Y = ?

25 - 17 = 8  <em>Checks</em>

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{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}

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