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Mathematics

A sum of ₹ 158 is to be divided between A, B and C, so that A gets ₹ 8 more than B and C gets ₹ 10 more than A. Then, A gets

  1. ₹ 44
  2. ₹ 48
  3. ₹ 52
  4. ₹ 60

Linear Eqns One Variable

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Answer

Let B gets ₹ x.

Then A gets ₹ (x + 8)

C gets ₹ (x + 8 + 10) = ₹ (x + 18).

Total amount = ₹ 158

∴ x + (x + 8) + (x + 18) = 158

⇒ x + x + 8 + x + 18 = 158 \quad [Removing brackets]

⇒ 3x + 26 = 158

⇒ 3x = 158 - 26 \quad [Transposing +26 to RHS]

⇒ 3x = 132

⇒ x = 1323\dfrac{132}{3}

⇒ x = 44

A gets ₹ (x + 8) = ₹ (44 + 8) = ₹ 52.

Hence, option 3 is the correct option.

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