Question

if a-b=2 and a+b=4 then find value of a and​

Answer 1

Given

if a-b=2 and a+b=4 then find value of a and b

Solution

Given equations

• a - b = 2 --(i)
• a + b = 4 --(ii)

Add both the equations

➪ (a - b) + (a + b) = 2 + 4

➪ a - b + a + b = 6

➪ 2a = 6

➪ a = 6/2 = 3

Put the value of " a " in equation (i)

➪ a - b = 2

➪ 3 - b = 2

➪ b = 3 - 2

➪ b = 1

Therefore, the required value of " a " = 3

And the required value of " b " = 1

Answer 2

$\bold\blue{Question}$

$\bold{If \ a-b=2 \ and \ a+b=4 \ then \ find }$

$\bold{the \ value \ of \ a \ and \ b.}$

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Value \ of \ a \ and \ b \ are \ 3 \ and \ 1 \ respectively. }$

$\bold\orange{Given:}$

$\bold{=>a-b=2}$

$\bold{=>a+b=4}$

$\bold\pink{To \ find:}$

$\bold{Value \ of \ a \ and \ b.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{=>a-b=2...(1)}$

$\bold{=>a+b=4...(2)}$

$\bold{Add \ equations(1) \ and \ (2), \ we \ get}$

$\bold{2a=6}$

$\bold{a=\frac{6}{2}}$

$\bold{a=3}$

$\bold{Substitute \ a=3 \ in \ eq(2)}$

$\bold{3+b=4}$

$\bold{b=4-3}$

$\bold{b=1}$

$\bold\purple{\tt{\therefore{Value \ of \ a \ and \ b \ are \ 3 \ and \ 1 \ respectively. }}}$