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What must be added to each term of the vratio 285 see that it may become equal tops 769DATEPAGE |
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Answer» Given,163x+1 + 72x−3 = 8x+3 + 143x−1 .Taking LCM on both SIDES, we get,LCM of 16,7= LCM of 8,14=112.Then,⟹ ( 163x+1 × 112112 )+( 72x−3 × 112112 )=( 8x+3 × 112112 )+( 143x−1 × 112112 )⟹ 1127(3x+1) + 11216(2x−3) = 11214(x+3) + 1128(3x−1) ⟹ 1127(3x+1)+16(2x−3) = 11214(x+3)+8(3x−1) .Now, cancelling 112 from both sides, we get,⟹ 7(3x+1)+16(2x−3)=14(x+3)+8(3x−1)⟹ 21x+7+32x−48=14x+42+24x−8 ⟹ 21x+32x−14x−24x=42−8−7+48⟹ 15x=75⟹ x=5.Therefore, option D is CORRECT. |
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