What has to be added to $(2 a + 3 b)$ to get $(7 a + 9 b)$ ?

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Solution

Let the expression that is to be added to $2 a + 3 b$ be $X$

Then, $(2 a + 3 b) + X$ = $7 a + 9 b$ .....[1 Mark]
or, $X$ = $(7 a + 9 b) - (2 a + 3 b)$
So, $X$ = $7 a + 9 b - 2 a - 3 b$ .....[1 Mark]

i.e. $X$ = $7 a - 2 a + 9 b - 3 b$
Therefore, $X$ = $5 a + 6 b$ .....[1 Mark]

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