Question

Check whether the given four numbers are in proportion. (a) 27, 36, 18,24 (5) Solve it :- 5x/2+1=11 ?​

Answer 1

Step-by-step explanation:

5x/2+1=11?

5x/2=11-1

5x/2=10

x=10×2/5

x=4answer

Answer 2

Step-by-step explanation:

a)

Given:-

27, 36, 18,24

To find:-

Check whether the given four numbers are in proportion. 27, 36, 18,24

Solution:-

Given numbers are 27, 36, 18,24

Extremes = 27 and 24

Product of extremes = 27×24 = 648

Means = 36 and 18

Product of means = 36×18 = 648

Product of extremes= Product of means

So given numbers are in the Proportion.

Answer:-

27 , 36 , 18 , 24 are in the Proportion.

Used formula:-

In Proportion,

Product of extremes= Product of means

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b)

Given:-

5x/2+1=11

To find:-

Solve 5x/2+1=11 ?

Solution:-

Given equation is 5x/2+1=11

=> 5x/2 = 11-1

=> 5x/2 = 10

=> 5x = 10×2

=> 5x = 20

=> x = 20/5

=> x = 4

Answer:-

The value of x for the given problem is 4

Check:-

LHS :-

5x/2+1

If x = 4 then

=> (5×4)/2 +1

=>(20/2)+1

=> 10+1

=> 11

=> RHS

LHS = RHS is true for x = 4