14. The sum of the digits of two-digit number is 16. Reversing its digit decreases the value of the number by 18. Find the number using elimination.
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let, two digit 8+8=16
reversingdigit = 4*4+2=18. this us answer
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Answer:
for 14
Let the tens digit=x
and units digit=y
Hence sum x+y=16……………(i)
Number =10x+y
Number formed by reversing the digits =10y+x
(10y+x)-(10x+y)=18 i . e. 9y-9x=18
Or y-x=2…………..(ii)
Adding (i) and (ii) gives 2y=18
Hence y=9
hence from (i) x=16-y=16–9=7
hence Number =79
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