Once you attempt the question then PrepInsta explanation will be displayed.

Solution:

Take SING to the LHS to make the equation NINA + SING = AGAIN

N I N A

+ S I N G

-----------

A G A I N

**Step 1**

- A = 1 or 2 as it is the carry generated from the previous step

- Given I + I = A = 1, thus I has to be either 5 or 0 with a carry

- By trail and error method, let I = 5

- Replace the values in the equation

1

N 5 N 1

+ S 5 N G

-----------

1 G 1 5 N

- N + N = 5 with a 1 (carry) = 15 which is not possible, thus I = 0

1

N 0 N 1

+ S 0 N G

-----------

1 G 1 0 N

**Step 2**

- N should be 5 as 5 + 5 = 10 = 0 with 1(carry)

1

N 5 N 1

+ S 5 N G

-----------

1 G 1 5 N

- N + N = 5 with a 1 (carry) = 15 which is not possible, thus I = 0

1

5 0 5 1

+ S 0 5 G

-----------

1 G 1 0 5

**Step 3**

- G has be 4 as 1 + G = 5 and it does not give a carry

1

5 0 5 1

+ S 0 5 4

-----------

1 4 1 0 5

**Step 4**

- S has to be 9 as 5 + S = 4 with 1 as carry = 14

Thus

1

5 0 5 1

+ 9 0 5 4

-----------

1 4 1 0 5

S + I + N + G = 9 + 0 + 5 + 4 = 18