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Which two numbers should be interchanged to make the given equation correct? (176 ├╖ 4) + (22 ├Ч 8) тАУ (2 ├Ч 20) = 70 (Note: Interchange should be done of entire number and not individual digits of a given number)
4 and 8
2 and 4
22 and 20
2 and 8
4 and 8
Apply BODMAS rule strictly after swapping; focus on checking the division term first to see if it results in an integer.
Apply BODMAS rule strictly after swapping; focus on checking the division term first to see if it results in an integer.
Evaluate Option A: Interchange 4 and 8
Original equation: (176 / 4) + (22 * 8) - (2 * 20) = 70. Swapping 4 and 8 gives: (176 / 8) + (22 * 4) - (2 * 20). Calculating this: (176 / 8) = 22, (22 * 4) = 88, (2 * 20) = 40. Now: 22 + 88 - 40 = 110 - 40 = 70. This matches the target.
Verify Equation Equality
The result of 70 confirms that swapping 4 and 8 balances the equation according to BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction).
B: Replacing 4 and 2 results in (176/2) + (228) - (420) = 88 + 176 - 80 = 184!= 70. C: Replacing 22 and 20 results in (176/4) + (208) - (222) = 44 + 160 - 44 = 160!= 70. D: Replacing 2 and 8 results in (176/4) + (222) - (820) = 44 + 44 - 160 = -72!= 70.
A is correct because substituting 4 with 8 and 8 with 4 transforms the expression into 22 + 88 - 40, which equals 70.
In arithmetic operator questions, always prioritize testing the division operation first; if the interchange results in a non-integer, that option is almost certainly incorrect.
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