Math, asked by sneha38770, 11 months ago

the sum of two digits number and the number obtained by reversing the order of its digits is 143. the digits at ten's place is greater than digit of units place by 3 then find the original number​

Answers

Answered by Anonymous
4

Answer:

xy be the number

(10x+y)+(10y+x)=143 》x+y=13

also from given

y-x=3

solving the above 2 equations we will get y=8

and x=5

original number - 58

_____________________

Sayonara!

Answered by Anonymous
33

Let the number at the units place be X and the digit at the tens place be y.

then ,the number ,

is 10y+X

after interchang the digits the number becomes 10x+y.g

given :

the sum of two digits number and the number obtained by reversing the order of its digits is 143.

then ,

10y+X+ 10x+y = 143

11x+11y= 143

x+y = 13

or. y+X= 13 .....(1)

also ,given :

the digits at ten's place is greater than digit of units place by 3 .

then ,

y = X+3

then,

y-x= 3.....(2)

✨ now solve equations (1) and (2)

y+X= 13

y-x= 3

add these two equations

then

2y= 16

y= 16/2= 8

put y = 8 in equation (2)

y-x=3

X=y-3

X= 8-3 = 5

then orignal no is 10y+X= 10×8+5

= 85

I hope it help you ❤️

in case of doubt ask to me

my friend ❤️

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