Question

If ( 2a+b , a-b) = ( 8,3) ,then a-b =

(A) 3 (B) 13

3

(C) 11

3

(D) none of these​

Answer 1

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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Answer 2

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

$\sf{a - b = 3}$

FINAL ANSWER

Hence the correct option is

(A) 3

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