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Question
If a: b = 4: 7, find the following:
`(5"a" + 2"b")/(5"a" - 2"b")`
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Solution
a : b = 4 : 7 ⇒ `"a"/"b" = 4/7`
`(5"a" + 2"b")/(5"a" - 2"b") = (5 "a"/"b" + 2)/(5 "a"/"b" - 2)`
= `(5 xx 4/7 + 2)/(5 xx 4/7 - 2)`
= `(20/7 + 2)/(20/7 - 2)`
= `34/6`
= `17/3`
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