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The number $178$ is separated into two parts so that the first part is $8$ less than twice the second part. What are the two parts?

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126

and

42

176

and

102

126

and

82

116

and

62

answer is D.

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Detailed Solution

Given, the sum of two parts is

178

and first part is

8

less than twice the second part.
Let

x

be the second part.
Therefore, the first part

= 2 x - 8

.
According to the given condition,

x + 2 x - 8 = 178

\Rightarrow 3 x = 178 + 8

\Rightarrow 3 x = 186

\Rightarrow x = 62

First part

= 2 x - 8

\Rightarrow 2 (62) - 8

\Rightarrow 124 - 8 = 116

Therefore, the first and the second parts are

116

and

62

.
Hence, the correct option is 4.

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