[tex]\huge\mathtt\purple{Answer :- }[/tex]
Given :-
- Sum of the two numbers = 56
- Difference between the two numbers = 10
To Find :-
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
