Question

sum of two numbers is 26 and their difference is 2.
a; taking two numbers as x and y write two expressions for the statement given above.
b, find the number X and y​

Answer 1

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Answer 2

SOLUTION

GIVEN

• Sum of two numbers is 26

• Their difference is 2

TO DETERMINE

• Taking two numbers as x and y write two expressions for the statement given above.

• Find the number X and y

EVALUATION

Let the numbers are x and y

FIND FOR EQUATION

Now it is given that Sum of two numbers is 26

So

$\sf{x + y = 26 \: \: \: \: \: .....(1) \: }$

Again it is given that Their difference is 2

So

$\sf {x - y = 2 \: } \: \: \: ....(2)$

Hence two equations in x and y are

$\sf{x + y = 26 \: }$

$\sf{x - y = 2 \: }$

SOLVE FOR x and y

Adding Equation (1) & Equation (2) we get

$\sf{2x = 28\: }$

$\implies \sf{x = 14}$

From Equation (1) we get

$\sf{y = 26 - 14 \: }$

$\implies \sf{y = 12}$

Hence the two numbers are 14 and 12

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