Question

Three kites - red, blue and yellow can go high
up in the air. The combined height of red and
blue kites is 160 metres, blue and yellow is
140 metres, and red and yellow is 180 metres
Find the height of each of the kitos​

Answer 1

Height of blue  = 100

Height of blue = 60

Height of red = 80

Explanation:

Let height of red , blue and yellow are x, y and z respectively,

According to Question,

x + y = 160    ------------------------------(1)

y + z = 140     -------------------------------(2)

z + x = 180      -------------------------------(3)

Now, from equation 1 and equation 2, we get

x + y = 160

y = 160 - x

putting this value (y = 160 - x ), we get

160 - x + z = 140

z = x + 140 - 160

z = x  - 20

Now put above value of z (z= x - 20) in equation 3, we get

x - 20 + x = 180

2x = 180 + 20

2x = 200

x = 100

So y = 160 -x

=> y = 160 -100

=> y =60

and z = x - 20

=> z = 100 - 20

=>  z = 80

so height of blue(x)  = 100

height of blue (y) = 60

height of red (z) = 80

Answer 2

ANSWER

height of yellow kite =80

height of red kite =100

height of blue kite = 60

Step by step explanation

red +blue =160m

blue+yellow =140m

red+yellow =180m

total=480÷2 = 240m

240 - 160 (R +B) =80 (yellow)

240 - 140 (B +Y) = 100 (red)

240 - 180 (R+Y) = 60 (blue)