A two digit no is obtained bu either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and the adding 3 fin the no
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Answer:
The two digit number is 83
Step-by-step explanation:
Given that a two digit no is obtained bu either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and the adding 3.
we have to find the number.
Let the two digit number is xy
As a two digit no is obtained bu either multiplying the sum of the digits by 8 and then subtracting 5
xy=8(x+y)-5
10x+y=8(x+y)-5
2x-7y=-5 → (1)
also by multiplying the difference of the digits by 16 and the adding 3
xy=16(x-y)+3
10x+y=16(x-y)+3
6x-15y=3 → (2)
Solving (1) and (2), we get
y=3 and x=8
The two digit number is 83
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