Separate 178 into Two Parts So that the First Part is 8 Less than Twice the Second Part. - Mathematics

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Sum

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

Concept: Solving Linear Inequations
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (B) [Page 169]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (B) | Q 8 | Page 169
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