10 grade maths> the digits of a 2 digit number differ by5...

the digits of a 2 digit number differ by5.the number obtained by reversing the digits is 9 less than the thrice the original number.find the number.

AMRUTHA , 10 Years ago

Grade

2 Answers

Ahalya

Last Activity: 10 Years ago

let the original number be ‘‘x*10+y’’ and the number obtained by reversing the digits be ‘’y*10+x’’(ie)’’10x+y and 10y+x’’.

according to the question equation formed is:

10x-y=5 and 10y+x=3(10x+y)-9 (ie) -29x+7y=-9.

As per elimination method

-29x +7y = -9

70x -7y = 35

41x=26

x=26/41=0.6341....

and substituting the value of x in any of the equation we can get the value of y.

10x-y=5

10*26/41-y=5

y=(260/41)-5

y=(260-205)/41

y=55/41=141463......

Sunil Raikwar

Last Activity: 10 Years ago

Hello student, please check the solution of your question given below

let the no. be 10x+y
according to question
y-x=5.........................1
and
3(10x+y)=10y+x+9
29x-7y=9...............2
by solving equation 1 & 2 we get
x=2, y=7
so the required no. is 27