A number consist of two digits. The sum of digits is 8. If digits areinterchanged, then new number becomes 36 less than the original number.Find the number. About the author Mary
Answer: So the number=62 Step-by-step explanation: Let the 10’s digit x then unit digit=8-x So No N=10x+8-x=9x+8—————–(1) Now the digits are interchanged Unit digit=x 10’digit=8-x Thus new number N’=10(8-x) +x=80-10x+x=80-9x———–(2) Given that: N-N’=36 (9x+8)-(80-9x)=36 9x+8-80+9x=36 18x=108 x=6 So 10′ digit=6 and unit digit=8-6=2 So the number=62 Reply
Answer:
So the number=62
Step-by-step explanation:
Let the 10’s digit x
then unit digit=8-x
So No N=10x+8-x=9x+8—————–(1)
Now the digits are interchanged
Unit digit=x
10’digit=8-x
Thus new number
N’=10(8-x) +x=80-10x+x=80-9x———–(2)
Given that:
N-N’=36
(9x+8)-(80-9x)=36
9x+8-80+9x=36
18x=108
x=6
So 10′ digit=6
and unit digit=8-6=2
So the number=62
Answer:
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