If ( 2a+b , a-b) = ( 8,3) ,then a-b =
(A) 3 (B) 13
3
(C) 11
3
(D) none of these
Answers
Question :- If ( 2a+b , a-b) = ( 8,3) ,then the value of a = ?
(A) 3
(B) 13/3
(C) 11/3
(D) none of these.
Solution :-
given that,
→ ( 2a+b , a-b) = ( 8,3)
so, cooresponding elements will be equal . we get,
→ 2a + b = 8 ------------- Eqn.(1)
→ a - b = 3 ---------------- Eqn.(2)
adding Eqn.(1) & Eqn.(2) we get,
→ (2a + b) + (a - b) = 8 + 3
→ 2a + a + b - b = 11
→ 3a = 11
dividing both sides by 3,
→ a = (11/3) (Option C) (Ans.)
Hence, value of a will be (11/3) .
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SOLUTION
TO CHOOSE THE CORRECT OPTION
If ( 2a+b , a-b) = ( 8,3) ,then a-b =
(A) 3
(B) 13/3
(C) 11/3
(D) none of these
CONCEPT TO BE IMPLEMENTED
If two ordered pairs (x, y) & (a, b) are equal then x = a and y = b
More precisely
(x, y) = (a, b) implies x = a and y = b
EVALUATION
Here it is given that
( 2a+b , a-b) = ( 8,3)
∴ 2a + b = 8 & a - b = 3
FINAL ANSWER
Hence the correct option is
(A) 3
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