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In a two digit number, the digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed. Find the number

Solution:

In a two digit number, the digit in unit’s place is twice the digit in ten’s place.

If 27 is added to it, digits are reversed.

We have to find the number.

Let the ten’s digit be x.

Unit’s digit be 2x

Number = 10(x) + 2x

= 10x + 2x

= 12x

On reversing the digits,

Number = 10(2x) + x

= 20x + x

= 21x

According to the question,

27 + 12x = 21x

By transposing,

21x - 12x = 27

x(21 - 12) = 27

9x = 27

x = 27/9

x = 3

Now, 12x = 12(3) = 36

Therefore, the required number is 36.

✦ Try This: In a two digit number, the digit in units place is thrice the digit in tens place. If 36 is added to it, digits are reversed. Find the number

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 99

In a two digit number, the digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed. Find the number

Summary:

In a two digit number, the digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed. The number is 36

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