Rs 155 is divided into 4 parts in such a way that if the first part is diminished by 4,second be increased by 5,the third be divided by 2 and fourth be multiplied by 3,then find the first part? ans(40)
suppose each part was x and then apply changes
1st: x-4
2nd: x+5
3rd: x/2
4th: 3x
x-4 + x+5 + x/2 + 3x = 155
5.5x = 154
x = 28
the four parts are 24, 32, 14, and 84
I find it hard to understand what the question really is.
Very confusing wording.
notice that here
https://istrumpatmaralago.org
the wording makes sense.
Is that what you mean?
Then follow the method that Steve used in the question.
which method??
Sorry, I posted the wrong link
http://www.jiskha.com/display.cgi?id=1423156385
To find the first part, let's assume its value as x.
According to the given conditions:
- If the first part is diminished by 4, its new value would be (x - 4).
- If the second part is increased by 5, its new value would be (x + 5).
- If the third part is divided by 2, its new value would be (x / 2).
- If the fourth part is multiplied by 3, its new value would be (x * 3).
Now, let's form an equation using the given information:
(x - 4) + (x + 5) + (x / 2) + (x * 3) = 155
Simplifying this equation, we get:
3x + (x / 2) + 1 = 155
To solve for x, we need to isolate the variable on one side. Let's solve for x step by step:
Multiply the entire equation by 2 to eliminate the fraction:
6x + x + 2 = 310
Combine like terms:
7x + 2 = 310
Subtract 2 from both sides:
7x = 308
Divide both sides by 7:
x = 44
Therefore, the first part is x = 44.
However, the answer you provided (40) does not match the calculated value of x. Please recheck your calculations or provide further information if necessary.