Question

A number of two digits exceed four times the sum of its digits by 3. if 36 is added to the number the digits are reversed find the numbers

Answer 1

Answer:

59

Step-by-step explanation:

let required no = 10x + y

by given condition 1

10x + y = 4(x + y) + 3

or 10 x - 4x + y - 4y = 3

6x - 3y = 3…......(1)

by 2nd condition

10x + y +36 = 10y + x

or 10x - x + y - 10y = -36

9x-9y = - 36

or x - y = -4( dividing both sides by 9)

or x = y - 4.....put this value in eqn 1

6(y - 4) -3y = 3 or 6y - 24 - 3y = 3

of 3y = 27 or y = 27/3 = 9

so x = 9 -4 = 5

required no = 10*5 + 9 = 50+9 = 59 ans