For the statement 'a number is increased by 6, and the result is then multiplied by 4 to give 52', Ankit writes 4(x + 6) = 52 while Bhavna writes 4x + 6 = 52. Who is right?

Question

Accepted Answer

Ankit, because the whole sum is multiplied, so it needs brackets. The number is increased by 6 first, and that entire sum is then multiplied by 4, so the sum must be bracketed: 4(x + 6) = 52 → x + 6 = 13 → x = 7. Check: (7 + 6) × 4 = 52 ✓. Bhavna's 4x + 6 = 52 multiplies only the number and gives x = 11.5. The two are not the same, because 4(x + 6) expands to 4x + 24, not 4x + 6.

For the statement 'a number is increased by 6, and the result is then multiplied by 4 to give 52', Ankit writes $4 (x + 6) = 52$ while Bhavna writes $4 x + 6 = 52$ . Who is right?

Step-by-Step Solution

Key idea: Translating word problems into equations

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More Class 7 Simple Equations practice

For the statement 'a number is increased by 6, and the result is then multiplied by 4 to give 52', Ankit writes 4(x+6)=52 while Bhavna writes 4x+6=52. Who is right?

Step-by-Step Solution

Key idea: Translating word problems into equations

Master this chapter in 30 minutes a day.

More Class 7 Simple Equations practice

For the statement 'a number is increased by 6, and the result is then multiplied by 4 to give 52', Ankit writes $4 (x + 6) = 52$ while Bhavna writes $4 x + 6 = 52$ . Who is right?