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alexdok [17]
3 years ago
15

sum of age of Vishal and Manoj is 48 years. if the age of Vishal is three times the age of Manoj, find there age. ​

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

  • age of Manoj = 12 years
  • age of vishal = 36 years

Step-by-step explanation:

let the age of Manoj be x

vishal's age = 3 × Manoj's age = 3x

now, sum of their ages are 48 years

so,

  • x + 3x = 48
  • 4x = 48
  • x = 48 / 4
  • x = 12

so age of Manoj = x = 12 years

age of vishal = 3x = 12 × 3 = 36 years

<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em>

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Step-by-step explanation:

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5 0
2 years ago
If 6 cubes with an edge length of 14 can fit the height of the prism, what is the height of the prism? Enter the missing part of
Paha777 [63]

Answer: 84\ \text{units}

Step-by-step explanation:

Given

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7 0
2 years ago
Given that x and y are positive integers, solve the equation x² - 4y² = 13​
zvonat [6]
<h3>Answer:  x = 7 and y = 3</h3>

=====================================================

Explanation:

Apply the difference of squares rule

x² - 4y² = 13

x² - (2y)² = 13

(x - 2y)(x + 2y) = 13

Since x and y are positive integers, this means x-2y and x+2y are both integers as well.

The value 13 is prime. Its only factors are 1 and 13

Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:

  • A) x-2y = 1 and x+2y = 13
  • B) x-2y = 13 and x+2y = 1

----------------

Let's consider case A

We have this system of equations

\begin{cases}x-2y = 1\\x+2y = 13\end{cases}

Add the equations straight down

  • x+x becomes 2x
  • -2y+2y becomes 0y = 0 which goes away
  • 1+13 becomes 14

Therefore we have 2x = 14 solve to x = 7

From here, plug this into either equation to solve for y

x-2y = 1

7 - 2y = 1

-2y = 1-7

-2y = -6

y = -6/(-2)

y = 3

You should get the same result if you used x+2y = 13

----------------

Since we've found that x = 7 and y = 3, notice how case B is not possible

Example:  x-2y = 13 becomes 7-2(3) = 13 which is false.

Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.

-----------------

Let's check those x and y values in the original equation

x² - 4y² = 13

7² - 4*(3)² = 13

49 - 4(9) = 13

49 - 36 = 13

13 = 13

The answer is confirmed.

4 0
2 years ago
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