The problem states that Amit got a 2-digit score in Mathematics such that the sum of its digits is 8. This means that the two digits of the score, when added together, equal 8.

The problem also states that when 36 is added to the score, the digits are reversed.

Let's denote the tens digit as "a" and the units digit as "b". So, the score can be represented as 10a + b.

From the problem, we know that:

1) a + b = 8 (the sum of the digits is 8)
2) 10a + b + 36 = 10b + a (when 36 is added to the score, the digits are reversed)

We can solve these two equations simultaneously to find the values of a and b.

Subtracting the first equation from the second gives:

9a - 9b = -36
a - b = -4

Adding this equation to the first one gives:

2a = 4
a = 2

Substituting a = 2 into the first equation gives:

2 + b = 8
b = 6

So, the score is 26.

Therefore, the correct answer is 26.

Question

The problem states that Amit got a 2-digit score in Mathematics such that the sum of its digits is 8. This means that the two digits of the score, when added together, equal 8.

The problem also states that when 36 is added to the score, the digits are reversed.

Let's denote the tens digit as "a" and the units digit as "b". So, the score can be represented as 10a + b.

From the problem, we know that:

1) a + b = 8 (the sum of the digits is 8)
2) 10a + b + 36 = 10b + a (when 36 is added to the score, the digits are reversed)

We can solve these two equations simultaneously to find the values of a and b.

Subtracting the first equation from the second gives:

9a - 9b = -36
a - b = -4

Adding this equation to the first one gives:

2a = 4
a = 2

Substituting a = 2 into the first equation gives:

2 + b = 8
b = 6

So, the score is 26.

Therefore, the correct answer is 26.

Knowee AI · Accepted Answer