Question

a:7.5::7:17.5 then find a​

Answer 1

Step-by-step explanation:

Given :-

a:7.5::7:17.5

To find:-

Find the value of a ?

Solution:-

Given that

a:7.5::7:17.5

Since they are in the Proportion,The product of means is equal to the product of extremes

Extremes = a and 17.5

Product of extremes = a×17.5 = 17.5 a

Means = 7.5 and 7

Product of means = 7.5×7 = 52.5

Product of extremes = Product of means

=> 17.5 a = 52.5

=> (175/10) a = 525/10

On cancelling 10 both sides then

=> 175 a = 525

=> a = 525/175

=> a = 3

Therefore, a = 3

Answer:-

The value of a for the given problem is 3

Used formulae:-

• Product of extremes = Product of means

Additional information:-

Proportion:-

• Equality of ratios is called Proportion.
• The symbol for Proportion is ::
• :: is read as is as