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Solve: ("3a" - 2)/7 - ("A" - 2)/4 = 2 - Mathematics

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Question

Solve: `("3a" - 2)/7 - ("a" - 2)/4 = 2`

Sum
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Solution

`("3a" - 2)/7 - ("a" - 2)/4 = 2`


⇒ `(12"a" - 8 - 7"a" + 14)/28 = 2`

⇒ 12a - 8 - 7a + 14 = 2 × 28

⇒ 12a - 8 - 7a + 14 = 56

⇒ 12a - 7a + 14 - 8 = 56

⇒ 5a + 6 = 56

⇒ 5a = 56 - 6 = 50

⇒ a = `50/5 = 10`

∴ a = 10

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Chapter 12: Simple Linear Equations (Including Word Problems) - Exercise 12 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 12 Simple Linear Equations (Including Word Problems)
Exercise 12 (C) | Q 19
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