Tens digit of a two digit no. is 5 greater than the unit digit. If the no. are reversed the new no. is less than the original no. by 45 If the sumof digits are 9then find the digit
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Answer:
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Step-by-step explanation:
let X be the tens place digit and Y be the units place digit
original numbers = 10 X + Y
by condition 1
x=y+5
x-y=5 eq.1
reverse numbers = 10 Y + x
10y+x+45=10x+y
by condition 2
x+y=9 eq.2
adding eq.1 and eq.2
x+y=9
+ x-y=5
2x=14
x=14/2
x=7
put x = 7 in equation 1
x-y=5
7-y=5
7-5=y
y=2
original number = 10x+y
=10×7+2
=70+2
=72
reverse number = 10 Y + x
=10×2+7
=20+7
=27
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