Math, asked by athulrobert9, 1 day ago

Three times a number and five times another number added together make 71

and five times the first number and three times the second number added together

make 65.​

Answers

Answered by agarwalgurubhai
0

Step-by-step explanation:

And who art thou? Said I to the Soft-falling shower, Which, strange to tell, gave me an Answer, as here translated: I am the Poem of the Earth, said the Voice of the rain What does the poem mean by Who art thou? Who is the poet of the above poem? What was strange in the reply of the rain to the poet? Who is the poem of the Earth?

Answered by krishpmlak
3

Answer:

Step-by-step explanation:

Let the two numbers are x and y.

According to the question,

3x + 5y = 71------eq ( 1 ) ( say ) and

5x + 3y = 65-----eq ( 2 )

Now adding eq ( 1 ) + eq ( 2 ), we get

3x + 5y + 5x + 3y = 71 + 65

8x + 8y = 136

8 ( x + y ) = 136

x + y = 136 / 8

x + y = 17-------eq ( 3 ) ( say )

Now subtracting eq ( 1 ) - eq ( 2 ) , we get

3x + 5y - 5x - 3y = 71 - 65

- 2x + 2y = 6

- 2 ( x - y ) = 6

x - y = 6 / - 2

x - y = - 3------eq ( 4 ) ( say )

Now adadding eeq ( 3 ) + eq ( 4 )

x + y + x - y = 17 - 3

2x = 14

x = 14 / 2

x = 7

Substituting " x = 7 " in eq ( 3 ) , we get

7 + y = 17

y = 17 - 7

y = 14

Therefore, the values of x and y are 7 and 14.

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