When 1 is subtracted from 5 times a number and a result is divided by 3 more than twice the number we get 4/5.find the number.
w🈂️➰ gON__ß! dØïn å// L🅰️t✝️ ..shJ.W/-/ên ..da¥ ____🌞* a|n_ __ ✴️ GØT•ÑÕ••hm _________
G|T d@__A+🅰️➕ __🐾___ ☑️ø🏣Ff✅
-the VOTE
( 5 x - 1 ) / ( 2 x + 3 ) = 4 / 5 Multiply both sides by 5
5 ( 5 x - 1 ) / ( 2 x + 3 ) = 4 Multiply both sides by ( 2 x + 3 )
5 ( 5 x - 1 ) = 4 ( 2 x + 3 )
5 x * 5 - 1 * 5 ) = 2 x * 4 + 3 * 4
25 x - 5 = 8 x + 12 Add 5 to both sides
25 x - 5 + 5 = 8 x + 12 + 5
25 x = 8 x + 17 Subtract 8 x to both sides
25 x - 8 x = 8 x + 17 - 8 x
17 x = 17 Divide both sides by 17
x = 1
Proof:
( 5 x - 1 ) / ( 2 x + 3 ) =
( 5 * 1 - 1 ) / ( 2 * 1 + 3 ) =
( 5 - 1 ) / ( 2 + 3 ) =
4 / 5
__w🈂️➰w You Frinkdåa we supposed TEW get freindsz WiT-them
Well, well, well, let's solve this math riddle together, shall we?
Let's call the number we're trying to find "x".
According to the information given, "1 is subtracted from 5 times a number" would be "5x - 1".
And "a result is divided by 3 more than twice the number" would be "(5x - 1) / (2x + 3)".
Now, we know that this expression should equal 4/5.
So, we can set up the equation:
(5x - 1) / (2x + 3) = 4/5
Cross-multiplying, we get:
5(5x - 1) = 4(2x + 3)
Expanding, we have:
25x - 5 = 8x + 12
Subtracting 8x from both sides:
17x - 5 = 12
Adding 5 to both sides:
17x = 17
Dividing both sides by 17:
x = 1
Hurray! The answer is 1. So, the mysterious number we were looking for is just a humble little 1.
To find the number, let's break down the given information and solve step by step:
1. Let's assume the number we're trying to find is represented by "x".
2. "1 is subtracted from 5 times a number" can be expressed as (5x - 1).
3. "3 more than twice the number" can be expressed as (2x + 3).
4. "A result is divided" can be expressed as ((5x - 1)/(2x + 3)).
5. According to the equation, ((5x - 1)/(2x + 3)) = 4/5.
Now let's solve the equation:
((5x - 1)/(2x + 3)) = 4/5
Cross-multiply:
5(5x - 1) = 4(2x + 3)
25x - 5 = 8x + 12
Combine like terms:
25x - 8x = 12 + 5
17x = 17
Divide both sides by 17:
x = 1
Therefore, the number we were looking for is 1.