Teaching WB Primary TET Mock Test 2023 Quantitative Aptitude Problem on Age

Rani, who is y years old at present, is x years older than Hamid. Fifteen years ago, Hamid's age was 1/4 of the age of Rani. Which of the following is true ?

1
3y - 4x = 45
2
2y - x = 15
3
\(\frac{y}{x} - 15 = \frac{1}{4}\)
4
3x - 4y = 45
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