Question

sum of the digits of a two number is 12, the given number exceeds the number obtained by interchanging the digits by 36. Find the given number

Answer 1

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GiveN:

• Sum of the digits of a two digit no. is 12.
• The original number exceeds the number obtained by interchanging the digits by 36.

To FinD:

• The original given no.

Step-wise-Step Explanation:

Let the ten's place digit be x and the unit's place digit be y. Then the actual number will be 10x + y. The no. obtained by interchanging the digits will be 10y + x.

Condition -1)

➛ Sum of the digits is 12

➛ x + y = 12

Condition -2)

➛ Original no. - Reversed no. = 36

➛ 10x + y - (10y + x) = 36

➛ 10x + y - 10y - x = 36

➛ 9x - 9y = 36

➛ x - y = 4

Adding eq. (1) and eq. (2),

➛ x + y + x - y = 16

➛ 2x = 16

➛ x = 8

Then, y = 12 - 8 = 4.

Hence,

• The original number is 10(8) + 4 = 84

Quick check!!

Original number = 84

Reversed number = 48

Difference = 84 - 48 = 36✓

Answer 2

Answer:

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