26500 were divided equally among a number of people. If the number of people is increased by 15, the number of money reduces by 30 for each person. find the number of people as well as money each person got.

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Solution

Let there be "n" number of people.
$ x_1 + x_2 ... + x_n = 26500 \rightarrow 1 \\
nx = 26500$
equal division $\to x_{1} = x_{2} = . . . = x_{n} = x$
Now, the number of people increased by 15 and the number of money reduces by 30
$(x_{1} - 30) + (x_{2} - 30) + . . . + (x_{n} - 30)$

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26500 were divided equally among a number of people. If the number of people is increased by 15, the number of money reduces by 30 for each person. find the number of people as well as money each person got.

Let there be "n" number of people.$ x_1 + x_2 ... + x_n = 26500 \rightarrow 1 \\ nx = 26500$ equal division →x1=x2=...=xn=xNow, the number of people increased by 15 and the number of money reduces by 30(x1−30)+(x2−30)+...+(xn−30)

Let there be "n" number of people.
$ x_1 + x_2 ... + x_n = 26500 \rightarrow 1 \\
nx = 26500$
equal division $\to x_{1} = x_{2} = . . . = x_{n} = x$
Now, the number of people increased by 15 and the number of money reduces by 30
$(x_{1} - 30) + (x_{2} - 30) + . . . + (x_{n} - 30)$