Question

13. The least whole number which
when subtracted from both the
terms of the ratio 6 : 7 to give a
ratio less than 16:21, is​

Answer 1

Answer:

3

Step-by-step explanation:

Let the required whole number be 'a'.

According to question:

=> (6 - a)/(7 - a) < 16/21

=> 21(6 - a)/(7 - a) < 16

Multiply both sides by (7 - a)²:

=> 21(6 - a)(7 - a) < 16(7 - a)²

=> (7 - a)(14 - 5a) < 0

Therefore, 14/5 < a < 7

=> 2.8 < a < 7

Upcoming whole number is 3. So, 3 should be subtracted.

Answer 2

➡ SOLUTION:-

✏. Let the required whole number

be "a"

⏩ ACCORDING THE QUESTION:-

--> (6-a) : (7-a) < (6:2)

--> 21 (6-a) < 16 (7-a)

--> 126 - 21a < 112a - 16a

--> 126 - 112 < 21a - 16a

--> 14 < 5a

--> 14/5 < a

--> a is greater than 14/25 = 2.8

✏ Upcoming whole number

is 3

✏ So, 3 should be subtracted.

Step-by-step explanation:

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