Question

if x+y=65 and x-y=35 then find the value of x and y​

Answer 1

Answer:

The value of X is 50.

The value of Y is 15.

Answer 2

Answer :

➪ The value of x is 50 and y is 15.

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Given :

• x + y = 65
• x - y = 35

$\:$

To Find :

• The value of x and y.

$\:$

Solution :

$⇒ \: \bf{x + y = 65 \: - - - - - - \: equation \: no. \: (i) }$

$⇒ \: \bf{x - y = 35 \: - - - - - - \: equation \: no. \: (ii) }$

From equation no. (ii), we get

$\leadsto\sf{x = 35 + y}$

Substituting x = 35 + y in equation no. (i) :

$\hookrightarrow \: \sf{x + y = 65}$

$\hookrightarrow \: \sf{35 + y + y = 65}$

$\hookrightarrow \: \sf{2y = 65 - 35}$

$\hookrightarrow \: \sf{y = \Large\frac{30}{2} }$

$\hookrightarrow \: \bf{y = 15}$

Hence, y = 15.

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Substituting y = 15 in equation no. (ii) :

$\mapsto \: \sf{x - y = 35}$

$\mapsto \: \sf{x - 15 = 35}$

$\mapsto \: \sf{x = 35 + 15}$

$\mapsto \: \bf{x = 50}$

Hence, x = 50.

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