PSLEMark pushes two sticks, X and Y, straight into the ground until the length of each stick that is above the ground is the same.
13 of X and
16 of Y are in the ground. The length of X in the ground is 9 cm longer than the length of Y in the ground. What is the total length of sticks X and Y?
Fraction of Stick X above ground
= 1 -
13 =
23 Fraction of Stick Y above ground
= 1 -
16 =
56 Heights of Sticks X and Y above ground are the same.
23 X =
56 Y
1015 X =
1012 Y
Length of Stick X more than length of Stick Y
= 15 u - 12 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total length of Sticks X and Y
= 15 u + 12 u
= 27 u
= 27 x 3
= 81 cm
Answer(s): 81 cm