Question

Solve. Use the strategy "work backward."

Larissa said, "If you multiply my age by 3, subtract 6 from the product, then divide the difference by 5, the result is 9." What is Larissa"s age?

Answer 1

Let that be x

ATQ

`\\ \rm\Rrightarrow 3x-6/5=9`

Arrange accordingly to work backwards(Every thing is reversed)

`\\ \rm\Rrightarrow 9(5)+6/3=x`

`\\ \rm\Rrightarrow 45+6/3=x`

`\\ \rm\Rrightarrow 51/3=x`

`\\ \rm\Rrightarrow x=17`

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