Find a number less than 100 that is increased by one-fifth of its value when its digits are reversed.
1 answer:
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1.
An expression of the form
is called a "compound fraction"
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
can be written as:
2.
when we subtract or add a fraction
from an integer k,
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
from 8,
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D
An expression of the form
Compound fractions can be written as simple fractions by multiplying c to a, and then adding the product to c as follows:
for example,
2.
when we subtract or add a fraction
we first write k as a fraction with denominator n. We can do this as follows:
for example, if we want to subtract
we first write 8 as a fraction with denominator 2:
3.
Thus,
4.
The simple fraction 7/2 is not an option, so we write it as a compound fraction as follows:
(So write 7 as the sum of the largest multiple of 2, smaller than 7 + what is left. In our case these numbers are 6 and 1, then proceed as shown)
5. Answer: D