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If 2562.5 × 164.5 ÷ 44.8 = 16x, find the value of x.1. 6.12. 1.63. 7.14. 1.7 |
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Answer» Correct Answer - Option 3 : 7.1 Given∶ 2562.5 × 164.5 ÷ 44.8 = 16x Formula Used∶ am × an = am + n, (am)n = am × n, am÷ an = am - n Calculation∶ 2562.5 × 164.5 ÷ 44.8 = 16x ⇒ (162)2.5 × 164.5 ÷ 42× 2.4 = 16x ⇒ 162 × 2.5 × 164.5 ÷ 162.4 = 16x ⇒ 165 × 164.5 ÷ 162.4 = 16x ⇒ 165 + 4.5 - 2.4 = 16x ⇒ 169.5 - 2.4 = 16x ⇒ x = 9.5 – 2.4 = 7.1 ∴ The value of x is 7.1. |
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