Hong Kong

Stage 1 - Stage 3

The sum of two numbers is $56$56 and their difference is $30$30.

a

Set up two equations by letting $x$`x` and $y$`y` be the two numbers.

Use $x$`x` as the larger of the 2 numbers.

Sum equation: | $\editable{}$ |

Difference equation: | $\editable{}$ |

b

First solve for $x$`x`.

Equation 1 | $x+y=56$x+y=56 |

Equation 2 | $x-y=30$x−y=30 |

c

Now solve for $y$`y`.

Easy

Approx 3 minutes

The length of a rectangle measures $12$12 units more than the width, and the perimeter of the rectangle is $56$56 units.

Let $y$`y` be the width and $x$`x` be the length of the rectangle.

There are $36$36 members in a group, and the men outnumber the women by $16$16.

When comparing some test results Christa noticed that the sum of her Geography test score and Science test score was $172$172, and that their difference was $18$18.

Given that her Geography score is $x$`x` and her Science score is $y$`y` and she scored higher for the Geography test:

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