Question

the sum of two number 146 and their difference is 18 find the number​

Answer 1

Let the first number be : A

Let the second number be : B

Mentioned : Sum of the two numbers is 146

$\longrightarrow$  A + B = 146 ---------- (1)

Mentioned : Difference of the two numbers is 18

$\longrightarrow$  A - B = 18 ---------- (2)

Add both Equations (1) and (2)

$\longrightarrow$  [A + B] + [A - B] = 146 + 18

$\longrightarrow$  A + A + B - B = 164

$\longrightarrow$  2A = 164

$\longrightarrow$  A = 82

Substitute A = 82 in Equation (1)

$\longrightarrow$  82 + B = 146

$\longrightarrow$  B = 146 - 82

$\longrightarrow$  B = 64

$\longrightarrow$  The Two Numbers are : 82 and 64

Answer 2

Let Two Numbers be=X and Y

Sum of Number=146

Means

X+Y=146

X=146-Y

Now There Difference=18

X-Y=18

We know X=146-Y

146-Y-Y=18

146-2Y=18

-2Y=18-146

-2Y=-128

Y=-128/-2

Y=64

Y=64

We know

X=146-Y

X=146-64

X=82

Numbers are 82 and 64