Question

The digit in the units place. The quotient obtained when the number is divided by the sum of its digits is 4. Find the number.​

Answer 1

Step-by-step explanation:

Let the ten digits be x and let the units digits be y

Then, the required number is 10x+y

According to the question sum of digits =x+y

x+y

10x+y

=8

⇒10x+y=8x+8y

⇒10x−8y=8y−y

⇒2x=7y

⇒2x−7y=0−−−−−−−−−−(1)

Given,

x−3y=1−−−−−−−−−−−−−(2)

from equation (1) and (2)

2x−7y=0

(x−3y=1)×2

2x−7y=0

2x−6y=2

− + −

−−−−−−−−

−y=−2

y=2

put in equation (1)

2x−7y=0

2x−×2=0

2x=14

x=7

Hence the number is 10x+y

⇒ 10×7+2

=72

Hence, this is the answer.