The sum of two digits of a two digit number is 10. If 36 is substracted from the number the digits interchange their places. Find the number.
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Answers
Let the number be xy = 10*x + y
Given x + y = 10 (i)
and
10*x + y + 36 = 10*y + x (digits of original number reversed by adding 36)
9*x - 9*y = -36
x - y = -4 (ii) dividing throughout by 9.
Adding (i) and (ii):
x + y = 10
+(x - y = -4)
We get:
2*x = 6
or x= 3
Substituting for x in (i),
3 + y = 10
or y = 10 - 3 = 7
Therefore, the original number, xy (=10*x + y) = 30 + 7 = 37.
Check: 37 + 36 = 73.
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Answer:
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest
Step-by-step explanation: