Question

the sum of the digit of a three-digit number is 15. The digit at the tens place is half of the sum of the digits at the hundreds and units places. If 396 is added to the number, the digits at the hundreds and units places are interchanged. Find the number

Answer 1

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Answer 2

Answer:

The number = 672

Step-by-step explanation:

Given : The sum of the digit of a three-digit number is 15. The digit at the tens place is half of the sum of the digits at the hundreds and units places. If 396 is added to the number, the digits at the hundreds and units places are interchanged.

To find: The number?

Solution :

Let u=units digit

Let t=tens digit

Let h=hundreds digit

h=3u

u+t+h=15

Original number: 100h+10t+u

Reversed number: 100u+10t+h

Original number-Reversed number=396

(100h+10t+u)-(100u+10t+h)=396

100h+10t+u-100u-10t-h=396

99h-99u=396

99(3u)-99u=396

2u(99)=396

u=396/198=2

u=2

h=3u=3(2)=6

h=6

15=u+t+h

15=2+t+6

15=8+t

t=7

The number = 100(6)+10(7)+2

The number = 600+70+2

The number = 672