A two digit number is 3 more than 4times thes sum of its digits if 18 is added to the number it's digits are reversed find the number
Answers
Answered by
1
Answer: 35
Step-by-step explanation:
Let ones digit of two digits number is x. and tens digit is y. Accordingly:-
10y+x= 4.(x+y) +3
10y+x=4x+4y+3. or. 3x-6y+3=0
x-2y = -1…………….(1)
10y+x+18 = 10x+y. or. 9x-9y=18.
x-y = 2…………………..(2)
Subtracting eqn (2) from (1)
-y= -3. => y=3
Putting y=3 in eqn. (1)
x-6=-1. => x= 5
Thus , the number is 10y+x= 10×3+5. = 35. AnswerLet ones digit of two digits number is x. and tens digit is y. Acordingly:-
10y+x= 4.(x+y) +3
10y+x=4x+4y+3. or. 3x-6y+3=0
x-2y = -1…………….(1)
10y+x+18 = 10x+y. or. 9x-9y=18.
x-y = 2…………………..(2)
Subtracting eqn (2) from (1)
-y= -3. => y=3
Putting y=3 in eqn. (1)
x-6=-1. => x= 5
Thus , the number is 10y+x= 10×3+5. = 35. Answer
Similar questions