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Question id: 178. This question is similar to one that appeared in a GCSE Higher paper (specimen) for 2017. The use of a calculator is not allowed.

### Ratio Simultaneous Equations

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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This problem can be solved using a technique that you can practise in the self-checking interactive exercises called Simultaneous Equations.

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