Question

In a 3-digit number, the humdrends digit is one more than the ones digit and the tens digit is twice the hunderends digit. If the sum of the digits. Is. 11, find the number

Answer 1

362

Explanation:

let the digits that make up the number be a, b and c with a in the hundred position, b in the tens and c in the units position. Given that

he hundreds digit is one more than the ones digit

a = c + 1

c = a - 1

and the tens digit is twice the hundreds digit

b = 2a

If the sum of the digits is 11

a + b + c = 11

substituting

a + 2a + a - 1 = 11

4a - 1 = 11

4a = 11 + 1

4a = 12

a = 12/4

= 3

recall that

c = a - 1 = 3 - 1 = 2

b = 2a = 2 * 3 = 6

Hence the number is 362