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Answers
Step-by-step explanation:
Given -
? + ? = 87
+ +
? - ? = - 3
= =
71 61
To find -
Value of ?
Now,
a + b = 87
+ +
c - d = - 3
= =
71 61
From here,
a + b = 87 ......... (a)
a + c = 71 ........ (b)
b + d = 61 ....... (c)
c - d = - 3 ........ (d)
Now,
Adding (c) and (d)
Then,
b + d = 61
c - d = - 3
----------------------
- b + c = 58 ............ (e)
Now,
Substracting (a) and (c)
Then,
a + b = 87
a + c = 71
(-) (-) (-)
--------------------
- b - c = 16 ............ (f)
Now,
Adding (e) and (f)
Then,
b + c = 58
b - c = 16
--------------------
2b = 74
- b = 37
Now,
Substituting b = 37 on b + c = 58
Then,
= 37 + c = 58
= c = 58 - 37
- = c = 21
Now,
Substituting c = 21 on c - d = - 3
Then,
= 21 - d = - 3
= 21 + 3 = d
- = d = 24
Now,
Substituting c = 21 on a + c = 71
Then,
= a + 21 = 71
= a = 71 - 21
- = a = 50
Hence,
The value of
a = 50
b = 37
c = 21
d = 24
Verification -
- a + b = 87
= 50 + 37 = 87
= 87 = 87
LHS = RHS
- a + c = 71
= 50 + 21 = 71
= 71 = 71
LHS = RHS
- b + d = 61
= 37 + 24 = 61
= 61 = 61
LHS = RHS
- c - d = - 3
= 21 - 24 = -3
= - 3 = - 3
LHS = RHS
Hence,
Verified..