Question

2 (3) 4 = 14 and 3 (4) 6 = 60 and then 4 (5) 7= ​

Answer 1

Answer: 96

Step-by-step explanation:

2 [3] 4 = 14 can be obtained from

⇒[ (4+3) * 2 ] * [4 - 3]

⇒[ 7 * 2 ] * 1

⇒14

Similarly, 3 [4] 6 =60 can be obtained from

⇒[ ( 6 + 4 ) * 3 ] * [ 6 - 4 ]

⇒[ 10 * 3 ] * [2]

⇒ 60

Hence we analyzed that if :

a [b] c is given it's answer can be obtained by solving

⇒ [ ( c + b) * a ] * [ c - b ]

So, the answer of 4 [5] 7 is:

⇒[ (7 + 5) * 4 ] * [ 7 - 5 ]

⇒[12 * 4] * 2

⇒ 48 * 2

⇒ 96

Answer 2

The value of 4 (5) 7 = ​96.

Step-by-step explanation:

We have,

2 (3) 4 = 14 and 3 (4) 6 = 60

To find, the value of 4 (5) 7 = ​?

The pattern follow:

[(Third term + Second term) × First term] × (Third term - Second term) .

2 (3) 4 = [(4 + 3) × 2] × (4 - 3) = [7 × 2] × 1 = 14 × 1 = 14

3 (4) 6 = [(6 + 4) × 3] × (6 - 4) = [10 × 3] × 2 = 30 × 2 = 60

Similarly,

? = 4 (5) 7 = [(7 + 5) × 4] × (7 - 5) = [12 × 4] × 2 = 48 × 2 = 96

∴ Missing number = 96

Hence, the value of 4 (5) 7 = ​96.