The sum of the digits of a two digit number is 15. If the number formed
by reversing the digits is less than the original number by 27. Find the
original number.
Answers
Answer:
Step-by-step explanation:
Let tens digit of the original number be xso original number,10(x) + ... If the number formed by reversing the digits is less than the original number by 27 find the original number ... or 10x + 10x + 15 - 150 -x - x = 27 ... digits be x and (15-x), If you work it out you find that the sum of x and (15-x) is nothing but 15.
Answer:
Let the digit at ones place be x and the digit at tens place be y
The number is 10y + x ..............(i)
and x + y =15..................(ii)
= 10x 10y = 150 ....(iii)
number formed by reversing the digits = 10x +y
ATP
10y + x - (10x +y) =17
= 10y + x -10 x -y = 27
= 9y -9x =27
= 9(y-x)=27
= y-x =3..............(iv)
adding (ii) and (iv)
2y = 18
= y=9
So as x+y=15
x = 15-9=6
Therefore the no.is 10y+x = 10x9 +6
=96
BRAINLIEST plz pzl.
Step-by-step explanation: