A 3 digit number is 11 times the 2-digit no formed by using the hundreds & the units digit of the 3-digit no respectively in the tens and & units place of the 2digit no. if the difference between digit in tens place & digit in hundreds place is 1, what is the digit in units place??

Question

Pv Aaditya · Answer

Let the number be xyz(100x + 10y + z) = 11*(10x + z)=> 100x + 10y + z = 110x + 11z=> 10x = 10y - 10zAlso, y - x = 1 => y = x + 1=> 10x = 10x + 10 - 10z=> z = 1So, the digit in the units place is 1

ramakant Joka · Answer

we can write equations as 100x+10y+z=11(10x+z) and y-x=1..  on solving the two equations we get z=1.. and three digit number is 231 which is equal to 11(21)...

A 3 digit number is 11 times the 2-digit no formed by using the hundreds & the units digit of the 3-digit no respectively in the tens and & units place of the 2digit no. if the difference between digit in tens place & digit in hundreds place is 1, what is the digit in units place??

Join CAT 2026 course by 5-Time CAT 100%iler

Download resources