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=》》》♧ Let those friends were having Rs x and y with them. Using the information given in the question, we obtain
x + 100
= 2(y − 100) x + 100
= 2y − 200 x − 2y
= −300 (i) And, 6(x − 10)
= (y + 10) 6x − 60
= y + 10 6x − y = 70 (ii)
Multiplying equation (ii) by 2, we obtain
12x − 2y = 140 (iii)
Subtracting equation (i) from equation (iii), we obtain
11x = 140 + 300 11x
= 440 x = 40
Using this in equation (i), we obtain
40 − 2y
= −300 40 + 300
= 2y 2y
= 340 y
= 170
Therefore, those friends had Rs 40 and Rs 170 with them respectively.
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