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Separate 178 into two parts so that the first part is 8 less than twice the second part.

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#### Solution

Let first part = x

Second part = 178 – x

According to the problem :

First Part = 8 less than twice the second part

x = 2(178 – x) – 8

⇒ x = 356 – 2x – 8

⇒ x+2x = 356 – 8

⇒ 3x = 348

⇒ x = 116

First Part = 116

⇒ Second Part = 178 – x = 178 – 116 = 62

First Part = 116

⇒ Second Part = 62

**Alternative Method :**

Let Second part = x

First part = 2x – 8

According to the problem :

x + 2x – 8 = 178

⇒ x + 2x = 178 + 8

⇒ 3x = 186

⇒ x = 62

First part = 2x – 8 = 2 x 62 – 8 = 124 – 8 = 116

First part = 116

Second part = 62

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