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In a two digit number the units place is twice the tens place digit. If 27 is added to the number the digits interchange the their places. Find the number

Posted by Aaaaa Aaaaa 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 7 months ago

Let the digits be x and y

Then the two-digit number is 10x + y

Given : y = 2x ----------1

Now 27 added to the no

10x + y + 27 = 10y + x

9y – 9x = 27

y – x = 3 -----------2

Substitute the value of y in eqn 2

2x – x = 3

x = 3

and y = 2 × 3 = 6

Therefore the no is 10x + y = 10 × 3 + 6 = 36
Answer : The two digit no is 36.

2Thank You

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