Question

The ratio of a two digit number and the sum
of its digits is 4:1. IF the digit in the units
place is 3 more than the digit in the tens
place, then the number is.
(A) 24
(B) 36
(C) 27
(D) 34​

Answer 1

Answer:

(b) 36

Step-by-step explanation:

Let the number be equal to 10x + y

Sum of digits will be = x + y

Given that:

(10x + y)/(x + y) = 4

=> 10x + y = 4x + 4y

=> 6x = 3y

=> y = 2x ..(1)

Also, we're given that the digit in the units place is 3 more than the digit in tens place. Thus:

=> y = x + 3 ...(2)

Put (1) in (2):

=> 2x = x + 3

=> x = 3

Then y = 2x = 6

Number = 10x + y = 36

Hope it Helps!!