# The ratio of the height of a stick to the height of an umbrella is 4 : 5. The umbrella is 40 cm. What is the total height of the stick and umbrella altogether?

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by ApoorvaSingh

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by ApoorvaSingh

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as ratio given 4 is to 5

so 4x=40

x=40/4

x=10

so stick= 5x

=5 × 10 =50

all together height =50+40

= 90cm

suppose the hieght of umbrella is 5x and the height of the stick is 4x

the height of the umbrella is 40 cm

therefore by given condition 5x=40 x=8

and therfore the height of the stick=4x=4×8=32

The sum hieghts of the umbrella and the stick =40+32=72 cm