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
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
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Sayonara!
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 ❤️