Question

the digit in the tens place of a two digit number is three times that in the unit place is the detour river the new number will be 36 less than original number find out number check your answer​

Answer 1

Step-by-step explanation:

the two digits no. is=10y+x

the digits in the tens place is three times that in unit place

x=3y

x-3y=0 . equation 1

according to question

original no.=10y+x

New no. =10x+y

original no. - 36= New no.

10y +x-36=10x+y

10y+x-10x-y=36

-9x+9y=36

divide 9 on both sides

-x+y=4 equation 2

factorise eq. 1 and 2

x-3y=0

-x+9y =4

both x cut and -3y+9y

6y=4

y=4/6

y=2/3

put y value in eq. 1

x-3y=0

x-3×2/3=0

x-2=0

x=0+2

x=2

so original no. is =10y +x

=10×2/3+2

=20/3+2

=20+6/3

so answer is =26/3