In a twodigit number, the digit at the units place is equal to thesqua

1.	In a twodigit number, the digit at the units place is equal to thesquare of the digit at tens place. If 18 is added to the number, thedigits get interchanged. Find the number.
Answer» Let tens place digit = nUnit place digit = 2n Number = 10n + 2n = 12n If digits are interchanged then number becomes = 102n + n = 21n As per given condition12n + 18 = 21n9n = 18n = 18/9 = 2 Then number = 12n = 12*2 = 24

In a twodigit number, the digit at the units place is equal to thesquare of the digit at tens place. If 18 is added to the number, thedigits get interchanged. Find the number.

Answer»

Let tens place digit = nUnit place digit = 2n

Number = 10*n + 2n = 12n

If digits are interchanged then number becomes = 10*2n + n = 21n

As per given condition12n + 18 = 21n9n = 18n = 18/9 = 2

Then number = 12n = 12*2 = 24