Question

If 5 ♣ 7 = 24, 6 ♣ 5 = 22 and 4 ♣ 9 = 26, then 3 ♣ 5 =
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Answer 1

Answer:

According to the question :

Given, 5 ♣ 7 = 24, 6 ♣ 5 = 22 and 4 ♣ 9 = 26

Let's check the pattern for the first equation i.e. 5 ♣ 7 = 24

Let's find the factors of 24. The factors are 1,2,4,6,12 and 24

To get 24 we can multiply the factors of 24 and get the number such as

1 x 24 or 2 x 12 or 4 x 6.

Coming back to the equation 5 ♣ 7 = 24,

L.H.S: 5 ♣ 7 can infer that adding (5 + 7) and multiplying it by 2 to get 24 (∵ 12 x 2 = 24)

So, L.H.S can be written as (5+7) x 2

∴ 12 x 2 = 24

Let's apply the same logic for the second equation and check whether it satisfies the logic

6 ♣  5 = 22

L.H.S: 6 ♣ 5

According to the logic in the first equation, we can write the L.H.S as

(6 + 5) x 2

⇒ 11 x 2

= 22

= R.H.S

Similarly in the third equation,

L.H.S: 4 ♣ 9

⇒ Substituting the logic used in previous equations, LHS can we written as

⇒ (4 + 9) x 2

⇒ 13 x 2

= 26

= R.H.S

Now, we know the above logic is true and let's apply the same logic for the final equation to get the result

Given L.H.S: 3 ♣ 5

⇒ (3 + 5) x 2   (Substituting the logic for LHS)

⇒ 8 x 2

= 16

So, 3 ♣ 5 = 16 (Ans)

Step-by-step explanation: