Question

The sum of two numbers is 56, and their difference is 10. What are the numbers?

ОА.
33 and 23
OB.
30 and 26
OC.
20 and 36
OD
20 and 30

Answer 1

`\huge\mathtt\purple{Answer :- }`

Given :-

• Sum of the two numbers = 56

• Difference between the two numbers = 10

To Find :-

• Two numbers

Solution :-

Let the two numbers be 'm' and 'n'

Now we can get,

1) m + n = 56

2) m - n = 10

1) First we will solve the first equation,

m + n = 56

n = 56 - m

2) Now, solve the second equation,

m - n = 10

By substituting n = 56 - m we get,

m - (56 - m) = 10

56 - m - m = 10

56 - 2m = 10

-2m = 10 - 56

-2m = -46

m = - 46/-2

m = 23

Now, we will find 'n' by the equation 1 ,

n = 56 - m

n = 56 - 23

n = 33

Hence, The two numbers are (A) 23 and 33

Let's verify :-

33 + 23 = 56

33 - 23 = 10

Hence, verified