Question

In a two digit number , unit’s digit is 1 morethan twice the ten’s
digit. The number formed after interchanging the digits is 36
morethan the original number. Find the number.

Please give me right answer

Answer 1

Step-by-step explanation:

Let's say the tens digit number be x and ones digit number be y.

• Original number is 10x + y
• Interchanged number is 10y + x

Given that in a two digit number, unit or ones digit is one more than twice the tens digit.

→ y = 2x + 1 ---------- (1)

Also, the number formed after interchanging the digits is 36 morethan the original number.

→ 10y + x = 10x + y + 36

→ 10y - y + x - 10x = 36

→ 9y - 9x = 36

→ y - x = 4

Substitute value of y in above equation

→ 2x + 1 - x = 4

→ x = 4 - 1

→ x = 3

Substitute value of x in y

→ y = 2(3) + 1

→ y = 6 + 1

→ y = 7

Hence, the original number is 37 and interchanged number is 73.