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
- ₹ 44
- ₹ 48
- ₹ 52
- ₹ 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 [Removing brackets]
⇒ 3x + 26 = 158
⇒ 3x = 158 - 26 [Transposing +26 to RHS]
⇒ 3x = 132
⇒ x =
⇒ x = 44
A gets ₹ (x + 8) = ₹ (44 + 8) = ₹ 52.
Hence, option 3 is the correct option.
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