Question

Aman has tractor . The sum of radii of two wheels of the tractor is 98 cm and the difference of their circumference is 176 cm . Find the diameter of the wheels .

Answer 1

Let radius of first wheel=x
And radius of second wheel=98-x(sum of the two radies=98m)
According to question
2pieR-2pier=176
2pie(98-x)-2pie(x)=176
2pie(98-x)-(x)=176
2pie(98-x-x)=176
2pie(98-2x)=176
2×22/7(98-2x)=176
44/7×2(49-x)=176
88/7(49-x)=176
49-x=176×7/88
49-x=14
-x=14-49
-x=-35=35
sor=35m sod=2r=2×35=70m
andR=98-35=63m soD=2×R=63×2=126m

Answer 2

The diameter of the wheels are 126 cm and 70 cm

Step-by-step explanation:

Let the radii of both wheels be R and r respectively

Circumference of circle = $2\pi r$

So, circumference of wheel 1 =  $2\pi r$

circumference of wheel 2 =  $2\pi R$

The difference of their circumference is 176 cm

So, $2\pi R-2 \pi r=176$

$2\pi (R-r)=176$

$2 \times \frac{22}{7} \times (R-r)=176$

$(R-r)=176 \times \frac{7}{2 \times 22}$

$(R-r)=28$ ---1

We are given that The sum of radii of two wheels of the tractor is 98 cm

So, R+r=98 ---2

Add 1 and 2

R+r+R-r=98+28

2R=126

R = 63

So, Diameter of Wheel 2 =2R = 2(63)=126 cm

Now to find the value of r

R+r=98

63+r=98

r=98-63

r=35

So, Diameter of Wheel 1 =2r = 2(35)=70 cm

Hence The diameter of the wheels are 126 cm and 70 cm

#Learn more :

Find the diameter of a wheel whose circumference is 176 cm

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