If x: 7.5=8: y =7:17.5 find x: y
Автор: Open Eye 4 TNPSC
Загружено: 2026-01-13
Просмотров: 47
Описание:
In this video, we solve a Ratio and Proportion problem from a previous year's TNPSC question paper.
The problem involves an equation with multiple equalities: x : 7.5 = 7 : 17.5 = 8 : y. Our goal is to find the ratio of x : y.
Key Steps and Logic Explained:
Splitting the Equalities:
Since all terms are equal, we split them into two distinct equations:
x / 7.5 = 7 / 17.5
8 / y = 7 / 17.5
The Multiplication Trick:
To efficiently find the ratio x/y, we multiply the left-hand sides together and the right-hand sides together.
LHS: (x / 7.5) * (8 / y)
RHS: (7 / 17.5) * (7 / 17.5)
Simplification:
On the right side, 7 / 17.5 simplifies to 1 / 2.5.
We simplify the combined equation to isolate x/y. After moving the constants (7.5 and 8) to the other side, the calculation becomes x/y = (7.5 * 1) / (2.5 * 2.5 * 8) or simplified further through steps.
Final Calculation: By multiplying the simplified terms, we find that x/y = 3 / 20.
The final ratio for x : y is 3 : 20, which corresponds to Option (C).
This tutorial highlights how to handle multi-part equalities by creating simultaneous equations.
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