Question

7/16 of a number is 21. Whaf Fraction of the same number is 12 less than 21

Please share the working aldo​

Answer 1

Answer:

3/16

Step-by-step explanation:

Let the required number be x.

7/16 of x = 21

=> (7/16) × x = 21

=> x = 21 × 16/7 = 48

Required number is 48.

We have to find that fraction of 48 which is 12 less than 21 i.e. 21 - 12 = 9. Let 9 be 1/y of 48.

=> 1/y of 48 = 9

=> 1/y = 9/48

=> 1/y = 3/16

Thus, 3/16 of the same number is 12 less than 21.

Answer 2

Given :-

7/16 of a number is 21

To Find :-

Fraction of the same number is 12 less than 21

Solution :-

Let the number be a

7/16 × a = 21

7/16 × a = 21

a = 21 × 16/7

a = 3 × 16

a = 48

Now

12 less than 21 = 21 - 12 = 9

Now

Let the fraction be 1/b

1/b × 48 = 9

1 × 48/b = 9

48 = 9b

48/9 = b

3/16 = b

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