Question

У Ивана и Петра вместе 980 р. у Ивана и Никиты вместе 930р. у Петра и Никиты вместе 890р. сколько денег у каждого из них ?

Answer 1

И+П = 980
И+Н = 930
П+Н = 890

980+930+890 = 2800. Это все деньги Ивана, Никиты и Петра, умноженные на 2.
Значит, всего у них 1400 р.
У Никиты 1400 - 980 = 420
У Петра 1400 - 930 = 470
У Ивана 1400 - 890 = 510

Answer 2

(980+930+890)/2=1400 р у всех
1400-980=420 р у Никиты
1400-930=470 р у Петра
1400-890=510 р у Ивана

Answer 3

Solution:

Let's solve this problem step by step.

1. Let's denote the amount of money Ivan has as I, the amount Peter has as P, and the amount Nikita has as N. 2. We are given the following information: - I + P = 980 (Equation 1) - I + N = 930 (Equation 2) - P + N = 890 (Equation 3)

To find the amounts each person has, we can solve these equations simultaneously.

Solving the Equations:

Adding Equation 1, Equation 2, and Equation 3 together, we get:

2(I + P + N) = 980 + 930 + 890

Simplifying, we get:

2(I + P + N) = 2800

Dividing by 2, we get:

I + P + N = 1400 (Equation 4)

Now, we can use Equation 4 to find the individual amounts.

Finding Individual Amounts:

Substituting the given values into Equation 4:

- I = 1400 - P - N (Equation 5)

Substituting the given values into Equation 1, we get:

- P = 980 - I (Equation 6)

Substituting the given values into Equation 2, we get:

- N = 930 - I (Equation 7)

Now, we can substitute the values of P and N from Equation 6 and Equation 7 into Equation 5:

- I = 1400 - (980 - I) - (930 - I)

Solving for I:

- I = 1400 - 980 + I - 930 + I - I = 420

Now that we have the value of I, we can find the values of P and N using Equation 6 and Equation 7:

- P = 980 - 420 - P = 560

- N = 930 - 420 - N = 510

Conclusion:

So, the amounts each person has are: - Ivan (I) has 420 rubles - Peter (P) has 560 rubles - Nikita (N) has 510 rubles