Sandeep has RS 50 more than Gayatri. If, when each of them is given RS 15, the ratio of the money they becomes 3:1, how much money did Gayatri have to begin with
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Let the money Gayatri has = x rupees.
Money that Sandeep has = x + 50 rupees
After adding 15 rupees to both, Gayatri has x + 15 and Sandeep has x + 65.
Given, 3(x+15) = x+65 ⇒ 3x + 45 = x + 65
2x = 20 ⇒ x= 10
Thus, Gayatri had 10 rupees in the beginning.
Money that Sandeep has = x + 50 rupees
After adding 15 rupees to both, Gayatri has x + 15 and Sandeep has x + 65.
Given, 3(x+15) = x+65 ⇒ 3x + 45 = x + 65
2x = 20 ⇒ x= 10
Thus, Gayatri had 10 rupees in the beginning.
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