Question

x+y=1900 ; x/60+y/700=5
Find the value of x and y

Answer 1

Step-by-step explanation:

x/60 +y/700 =5

1900 /760 =5

Answer 2

Given :

$x + y = 1900 \: \: - - - (1)$

and

$\dfrac{x}{60} + \dfrac{y}{700 } = 5$

LCM of 60 and 700 is 2100

$\implies$

$\dfrac{x \times 35}{60 \times 35} + \dfrac{y \times 3}{700 \times 3} = 5$

$\dfrac{(35x + 3y)}{2100} = 5$

$35x + 3y = 5 \times 2100$

$35x + 3y = 10500$

From eq(1)

• Y = 1900 - X

$\implies$

$35x + 3(1900 - x) = 10500$

$35x - 3x + 5700 = 10500$

$32x = 4800$

$x = \dfrac{4800}{32}$

$x = 150.$

Therefore, the value of X is 150.

• Now replace the value of X in eq(1)

$150 + y = 1900$

$y = 1900 - 150$

$y = 1750$

Therefore, the value of y is 1750.

X = 150

Y = 1750