Qstnid -A-14- (A + 5)/6 - (A + 1)/9 = (A + 3)/4 - 14: Linear Equations In One Variable Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

14: Linear Equations in one Variable Class 8 Maths

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Qstn# A-14 Prvs-Qstn Next-Qstn

#14
(a + 5)/6 - (a + 1)/9 = (a + 3)/4
Ans : Since L.C.M. of denominators 6, 9 and 4 = 36
∴ (a + 5)/6 × 36 - (a + 1)/9 × 36 = (a + 3)/4 × 36
(Multiplying each term by 36)
⇒ 6(a + 5) - 4(a + 1) = 9(a + 3)
⇒ 6a + 30 - 4a - 4 = 9a + 27
⇒ 6a - 4a - 9a = 27 - 30 + 4
⇒ 6a - 13a = 1
⇒ -7a = 1
⇒ a = - 1/7