Weston Gordon
08/13/2023 · Primary School
\( \begin{array}{ll}\text { (3) } 166 & \text { (4) } 164 \\ \text { The number which exceeds } 16 \% \text { of itself by } 42 \text {, is }\end{array} \)
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Tutor-Verified Answer
Step-by-step Solution
Let the number be \( x \). According to the problem, the number exceeds 16% of itself by 42. We can express this mathematically as:
\[
x - 0.16x = 42
\]
Simplifying the left side, we have:
\[
0.84x = 42
\]
To find \( x \), we divide both sides by 0.84:
\[
x = \frac{42}{0.84}
\]
Calculating the right side:
\[
x = 50
\]
Thus, the number which exceeds 16% of itself by 42 is \( \boxed{50} \).
Quick Answer
The number is 50.
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