sum of digits of a number is 6 if 36 is added to the number its digits are reversed determine the number
Answers
Answered by
4
Hi friend,
Here is your answer,
_____________________________________________________________
Let the digits be x and y.
x+y = 6 -----------------------( i )
10x+y +36 = 10y+x
36 = 9y - 9x
y - x = 4 -----------------------( ii )
( i ) + ( ii )
2y = 10
y = 5
x = 1
The number is 15 .
_____________________________________________________________
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Here is your answer,
_____________________________________________________________
Let the digits be x and y.
x+y = 6 -----------------------( i )
10x+y +36 = 10y+x
36 = 9y - 9x
y - x = 4 -----------------------( ii )
( i ) + ( ii )
2y = 10
y = 5
x = 1
The number is 15 .
_____________________________________________________________
★★★★ HOPE THIS HELPS YOU ★★★★
★★★★ PLS MARK ME AS BRAINLIEST ★★★★
ujjawal34:
thx
Answered by
1
Let the ten's no be x
One's be y
Number=10x+y
A/Q
X+y=6
X=6-y (1)
10x+y+36=10y+x
10x-x+y-10y=-36
9x-9y=-36
9 (x-y)=-36
X-y=-4 (2)
6-y-y=-4
-2y=-4-6
-2y=-10
Y=5
Now put the value of y=5 in equation (2)
X-y=-4
X-5=-4
X=-4+5
X=1
number=10x+y
=10×1+5
=10+5=15
One's be y
Number=10x+y
A/Q
X+y=6
X=6-y (1)
10x+y+36=10y+x
10x-x+y-10y=-36
9x-9y=-36
9 (x-y)=-36
X-y=-4 (2)
6-y-y=-4
-2y=-4-6
-2y=-10
Y=5
Now put the value of y=5 in equation (2)
X-y=-4
X-5=-4
X=-4+5
X=1
number=10x+y
=10×1+5
=10+5=15
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