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Exam-Style Questions on Ratio Simultaneous Equations

Problems on Ratio Simultaneous Equations adapted from questions set in previous exams.

1.

GCSE Higher

The prices of two watches are in the ratio \(a:b\).

When the prices are both increased by £10, the ratio becomes \(5 : 7\).

When the prices are both reduced by £10, the ratio becomes \(1 : 3\).

Express the ratio \(a:b\) in its lowest terms.


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