When number x is divided by number y, the quotient is 16 and the remainder is 3. The sum of the 2 numbers, the quotient and the remainder is 345. What is number x?

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29-01-2024
Mathematics

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When number x is divided by number y, the quotient is 16 and the remainder is 3. The sum of the 2 numbers, the quotient and the remainder is 345. What is number x?

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masifakrami masifakrami · Answer 1 · 2024-01-29T19:30:06+01:00

Answer:

the value of the number x is approximately 307.

Step-by-step explanation:

To find the value of the number x, we can set up a system of equations based on the given information.

Let's denote number x as X and number y as Y.

From the first statement, we know that when X is divided by Y, the quotient is 16 and the remainder is 3. This can be written as:

X = 16Y + 3 (Equation 1)

From the second statement, we know that the sum of the two numbers (X and Y), the quotient (16), and the remainder (3) is 345. This can be written as:

X + Y + 16 + 3 = 345

X + Y = 326 (Equation 2)

We now have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of X and Y.

Substituting Equation 1 into Equation 2, we get:

(16Y + 3) + Y = 326

17Y + 3 = 326

17Y = 323

Y ≈ 19

Now, substituting the value of Y back into Equation 1, we can find X:

X = 16(19) + 3

X = 307

Therefore, the value of the number x is approximately 307.

talha655 talha655 · Answer 2 · 2024-01-30T14:55:27+01:00

Final answer:

To find number x, we set up an equation using the given information. By substituting the expression for x in terms of y into the second equation, we find that y = 19. Then, we substitute the value of y back into one of the original equations to find x = 307.

Explanation:

To find the value of number x, we can set up an equation using the given information. Let's assume that number x is divided by number y. The quotient is 16, and the remainder is 3. We can write this as x = 16y + 3.

The sum of the two numbers, the quotient, and the remainder is 345. So we have the equation x + y + 16 + 3 = 345. Simplifying this equation, we get x + y = 326.

Now we can substitute the expression for x in terms of y into the second equation. So (16y + 3) + y = 326. Simplifying further, we get 17y + 3 = 326. Subtracting 3 from both sides, we have 17y = 323. Dividing both sides by 17, we find that y = 19.

To find the value of x, we can substitute the value of y back into one of the original equations. Using x = 16y + 3, we have x = 16(19) + 3 = 307.