Question

Sum of two numbers is 35 and their
difference is 13, then the numbers are
(1 Point)
o 24, 12
24, 11
O 12,11
O None of the above​

Answer 1

GIVEN :–

• Sum of two numbers = 35

• Their difference = 13

TO FIND :–

• The numbers = ?

SOLUTION :–

• Let the numbers are "x" & "y" .

• According to the first condition –

=> x + y = 35 ______________eq.(1)

• According to the second condition –

=> x - y = 13 ______________eq.(2)

• Add eq.(1) & eq.(2) –

=> (x + y) + ( x - y) = 35 + 13

=> 2x = 48

=> x = 48/2

=> x = 24

• Using eq.(1) –

=> 24 + y = 35

=> y = 35 - 24

=> y = 11

• Hence , Second Option is correct.

Answer 2

Let the two numbers be x and y.

As per question sum of two numbers is

x+y=35......eq(1)

And their difference is x−y=13...................................eq(2)

On Adding equation 1 and 2 we get

x+y=35

x−y=13

____________

2x=48

Therefore x=24

As per equation (1) x+y=35

Putting the value of x we get,24+y=35

Therefore y=11

THEREFORE, THE SOLLUTIONS ARE( 24,11).

OPTION 2 IS CORRECT.