in a 3-digit number, the tens digit is thrice the units digit and the hundreds digits is four times the units digits.also, the sum of its digits is 16. find the number.

Let us take the units digit as x.

then the equation goes like this -

4x+3x+x = 16

or, 8x = 16

or, x = 16/8

or, x = 2

Therefore, if x = 2, then 3x = 2*3 =6, and 4x = 4*2 = 8.

There fore we conclude the number to be 862.

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