Question

2. The sum of two numbers is 80 and their difference is 30. If the smaller number is x then what is the bigger number?​

Answer 1

Step-by-step explanation:

Let the smaller number be x and bigger number be y

The sum of two numbers is 80

x+y= 80 ------------ (i)

The difference of two number is 30

x-y= 30 ------------- (ii)

Subtract equation (ii) from (i)

x+y= 80

x-y= 30

(-) (+) (-)

----------------

2y= 50

y= 50/2

y= 25

Therefore, the value of y is 25

substitute the value of y in the equation (i)

x+y= 80

x+25= 80

x= 80-25

x= 55

Therefore, the value of x is 55

Therefore, The smaller number is 55 and bigger number is 25

correct explanation

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