Question

how many three digit numbers are 34 times the sum of their digits? a) 5 b) none c)6
d) 4​

Answer 1

Answer:

6

Step-by-step explanation:

because if we add 3 and 4 the answer is 6

Answer 2

Answer:

Let a, b and c are digits of number

then 100a + 10b + c = 34(a+b+c) (given from question )

= 100a + 10b + c = 34a + 34b + 34c

= 66a - 33c = 24b

since we are talking about 3 digits number , a,b, c < 10 and a # 0

so by this both b and c can be 0, let say b is 0 the

66a - 33c = 0

2a = c

so from this equation if we look for all possibilities there are 4 numbers which could satisfy our equation .

also if we assume c = 0 in that case

66a = 24b

33a = 12b

since a,b,c < 10

this is not possible

so Required answer is 4.

Step-by-step explanation:

please mark that brilliant