A two digit number is such that the product of its digits is 35 . when 18 is added to the number , the digits interchanges their places . find the number .
Answers
Answered by
1
Answer:
Let digit in unit place = x
digit in ten's place = 35/ x
original number = 10 ( 35/x) +x=350/x+x
Interchanged number =10x+35/x
because product of two digits is 35
10x+35/x=350/x+x+18
10x²+35=350+x²+18x
9x²-18x-350+x²+18x
9x²-18xx-315=0
x²-7x+5x-35=0
(x-7) (x+5)=0
x=7 , -5
..rejecting -5 as digit in unit place cannot be negative , we get , x=7
original number =350/ 7 +7=50+7= 57.
..is your solution..
hope it helps you
Answered by
1
Answer:
The answer for your question is 7 .......
Hope it will be helpful ...
please mark as brainliest...
Similar questions