Question

three numbers the ratio 2:5:7 and the average 20 find the smallest number?​

Answer 1

Question Given :

• three numbers the ratio 2:5:7 and the average 20 find the smallest number?

Required Solution :

Value given to us :

• three numbers the ratio 2:5:7

Assumptions :

• Let the Number be 2x , 5x , 7x

According to Question :

• 20 = [ 2x + 5x + 7x ] / 3

• 20 × 3 = 14x

• 60 = 14x

• x = 60/ 14

• x = 4 [ Approximately ]

Putting Value at place of x :

• First Number = 3 × 4 = 12

• Second Number = 5 × 4 = 20

• Third Number = 6 × 4 = 24

Hence :

.°. Smallest Number is 12

______________________________

Answer 2

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Suppose, the three numbers = 2z, 3z and 5z

Suppose, the three numbers = 2z, 3z and 5zAs per question,

(2z)2+(3z)2+(5z)2

=608

or 4z2+9z2 +25^2

=608

or 38z2 =608

or z2=608÷38

or z2 =16

or z2=(4)2

or z=4

Hence, the three numbers are

2×z=2×4=8

3×z=3×4=12

5×z=5×4=20