i a two digit number the digit at the units place is double the digit in the tes place - Maths - Playing with Numbers

Question

i a two digit number the digit at the units place is double the
digit in the tes place the number exceeds the sum of its digits by
18 find the number

Gursheen kaur. · Accepted Answer

Let digit at tens place = x

and digit at unit place =
2x

therefore,

original number = 10(x) + 2x =
12x

Now, when digits are interchanged,
then

the number = 10(2x) + x =
21x

therefore,

acc to the question,

â‡’21x - 12x =
18

â‡’9x =
18

â‡’x = 2

Hence, Original number = 10(2) + 2(2) =
20+4=24

i a two digit number the digit at the units place is double the digit in the tes place . the number exceeds the sum of its digits by 18 find the number