Raja had as much money as Rani. After Raja spent $132 and Rani spent $54, the amount of money they had left was in the ratio 2:5. Find the amount of money each of them had at first.
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Let Raja and Rani had $x
Raja spent $132 and Rani spent $54
Amount left with Raja = x - 132
Amount left with Rani = x - 54
Given
x - 132 : x - 54 = 2 : 5
⇒5(x - 132) = 2(x - 54)
⇒ 5x - 660 = 2x - 108
⇒ 5x - 2x = 660 - 108
⇒ 3x = 552
⇒ x = 184
Raja and Rani had $184 each initially.
Raja spent $132 and Rani spent $54
Amount left with Raja = x - 132
Amount left with Rani = x - 54
Given
x - 132 : x - 54 = 2 : 5
⇒5(x - 132) = 2(x - 54)
⇒ 5x - 660 = 2x - 108
⇒ 5x - 2x = 660 - 108
⇒ 3x = 552
⇒ x = 184
Raja and Rani had $184 each initially.
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