Question

1. If 2 [3] 4 = 14 and 3 [4] 6 = 60, then
4 [5] 7 = ?​

Answer 1

Answer:

156

Step-by-step explanation:

(4+3)2×1=14

(6+4)3×2=60

hence (7+5)4×3=156

Answer 2

Given that,

$2[3]4=14$...(I)

$3[4]6=60$.....(II)

We need to proof the given equation

Using given (I) equation

$2[3]4=14$

Using L.H.S

$[(4+3)\times2]\times(4-3)$

$[7\times2]\times1$

$14$

L.H.S=R.H.S

We need to proof the given equation

Using given (II) equation

$3[4]6=60$

Using L.H.S

$[(6+4)\times3]\times(6-4)$

$[10\times3]\times2$

$30\times2$

$60$

L.H.S=R.H.S

We analyse that,

These equations solved by this formula

$a[b]c=[(c+b)\times a]\times(c-b)$

We need to calculate the value of $4[5]7$

Using formula for given equation

$[(7+5)\times4]\times(7-5)$

$[12\times4]\times2$

$48\times2$

$96$

Hence, The value of $4[5]7$ is 96