Question 10

# The two given expressions on either side of the ‘=’ sign will have the same value if two numbers on either side or on the same side are interchanged. Find from the given option the correct numbers to be interchanged.$$4 + 6 \times 2 - 27 \div 3 = 8 \times 2 - 4 + 9 \div 3$$

Solution

Given that expression

$$4 + 6 \times 2 - 27 \div 3 = 8 \times 2 - 4 + 9 \div 3$$

we check option (A) 6,2 replace to each other

$$4 + 2 \times 6 - 27 \div 3 =8 \times 6 - 4 + 9 \div 3$$

from the LHS $$4 + 2 \times 6 - 27 \div 3$$

$$\Rightarrow 4 + 12 - 9$$

$$\Rightarrow 16 - 9$$

$$\Rightarrow 7$$

from RHS$$8 \times 6 - 4 + 9 \div 3$$

$$\Rightarrow 48-4+3 = 51-4 = 47$$

then RHS is not equal to LHS

then we check option (B)6,8

$$4 + 8 \times 2 - 27 \div 3 = 6 \times 2 - 4 + 9 \div 3$$

then LHS $$4 + 8 \times 2 - 27 \div 3$$

$$\Rightarrow 4 + 8 \times 2 - 9$$

$$\Rightarrow 4 + 16- 9$$

$$\Rightarrow 20- 9 = 11$$

From RHS $$6 \times 2 - 4 + 9 \div 3$$

$$\Rightarrow 6 \times 2 - 4 + 3$$

$$\Rightarrow 12 - 4 + 3$$

$$\Rightarrow 15- 4 = 11$$

therefore LHS = RHS then

option (B) is staisfied the given expression

Ans (B) 6,8