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Answers
Answer:
150 cm
Step-by-step explanation:
let the height of cat be x and height of turtle be y
fig 1
170 cm= height of table in fig. 1 + height of cat - height of turtle
height of table in fig. 1 = 170 cm - height of cat + height of turtle
height of table in fig. 1 = 170 cm - x + y (1)
fig. 2
130 cm= height of table in fig. 2 + height of turtle - height of cat
height of table in fig. 2= 130 cm - height of turtle + height of cat
height of table in fig. 2= 130 cm - y + x (2)
in 1 and 2, since LHS are equal, RHS are equal
170 cm - x + y = 130 cm - y + x
170-130 = 2x -2y
40 = 2x -2y
40 = 2(x-y)
x-y = 20 (3)
using 3 in 2, we get
height of table in fig. 2= 130 cm +x-y
height of table in fig. 2= 130 cm +20
height of table in fig. 2= 150 cm