Question

the sum of the digits of a two digit number is 14 . The number is nineteenth times the digit at its ones place . find the number​

Answer 1

Answer:

19

Step-by-step explanation:

Answer 2

Answer:

95

Step-by-step explanation:

let the number be (10x+y)

according to question

x+y = 14.......1

also , (10x+y) = 19y

=> 10x = 18y

=> x = (18/10)y

putting value of x in equation 1

(18/10)y + y = 14

taking LCM

{ (18×1) + (1×10) }y ÷ 10 = 14

(18+10)y = 14×10

28y = 140

y = 140/28

y = 5

x = (18/10)y = (18/10)×5 = 90/10

x = 9

so number = (10x+y) = { (10)(9) + 5 }

number = 95