Question

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Answer 1

Answer:

34

Step-by-step explanation:

Let the units place be x

Let the tens place be y

Therefore, the no is 10y + x.

The reversed no will be 10x + y.

(Explanation: Let us take 43 as an example. It can be written as 4 x 10 + 3 x 1. Hence we take 10y for the tens place.)

Given that

No exceeds 4 times the sum of digits by 6.

The sum of digits is x + y. Therefore the eqn is

10y + x - 4(x + y) = 6

10y + x -4x -4y = 6

6y - 3x = 6

2y - x = 2      (eqn 1)

From condition 2,

10x + y = 10y + x + 9

9x -9y = 9

x - y = 1   (eqn 2)

Adding eqn 1 and 2 by elimination of x

y = 3

Substitute in eqn 2

x = 4

Therefore the number is 10y + x = 30 +4 = 34.

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