Question

The sum of the digits of a two-digit number is 14. If 36 is added to the number, its digits are

interchanged. Find the number.​

Answer 1

Required Answer✅

: Let the required number be

ab which can be written as 10a + b. According to question : 36 is added to the number its digits are interchanged. So the new number will be ba or 10b + a.

Answer 2

Answer:

59

Let the required number be ab which can be written as 10a + b.

Given,

sum of digits 14

⇒ a + b = 14

⇒ a = 14 - b

According to question : 36 is added to the number its digits are interchanged. So the new number will be ba or 10b + a.

→ Orig. no. + 36 = new no.

→ 10a + b + 36 = 10b + a

→ 36 = 10b + a -10a - b

→ 36 = 9b-9a

→ 36 = 9( b - a)

⇒ 4 = b - a

a = 14 - b

⇒ 4 = b - (14 - b) → 4 = b - 14 + b

→ 4 + 14 = 2b 18 = 2b

⇒ 9 = b

Hence, a 14 - 9 = 5

Required number is ab = 59

Step-by-step explanation:

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