Question

Сумма двух чисел равно 888а их разность равна 132.

Answer 1

(888 – 132) : 2 = 378 – наименьшее число

378 + 132 = 510 – наибольшее число

Проверка:

378 + 510 = 888 – верно

510 – 378 = 132 - верно

Answer 2

Let's solve this problem step by step. Let's assume the two numbers are x and y.

1. "Сумма двух чисел равно 888а": Translating this, it means the sum of the two numbers is 888a. So we can write the equation as:

   x + y = 888a ........(Equation 1)

2. "Их разность равна 132": Translating this, it means the difference between the two numbers is 132. So we can write the equation as:

   x - y = 132 ........(Equation 2)

Now, we have a system of two equations with two unknowns (x and y). To solve for x and y, we can use any method of solving simultaneous equations. Here, I'll use the elimination method:

Step 1: Add the two equations to eliminate y.

(x + y) + (x - y) = 888a + 132

Step 2: Simplify the equation.

2x = 888a + 132

Step 3: Divide both sides by 2.

x = (888a + 132) / 2

x = 444a + 66 ........(Equation 3)

Now that we have the value of x, we can find y by substituting the value of x into Equation 2:

x - y = 132

(444a + 66) - y = 132

Step 4: Solve for y.

y = 444a + 66 - 132

y = 444a - 66 ........(Equation 4)

So, the two numbers are given by Equations 3 and 4:

x = 444a + 66 y = 444a - 66

Here, 'a' is just a constant, so there are infinitely many pairs of numbers (x, y) that satisfy the given conditions. The values of x and y will depend on the value of 'a'. If you have a specific value of 'a', you can substitute it into the equations to find the corresponding numbers.