10. A student had multiplied a number by
instead of dividing it by
and got 70 more
3
3
than the correct answer. Find the number.
120
Answers
Answered by
1
Step-by-step explanation:
(b) 12
Step-by-step explanation:
Let x be the original number,
After multiplying by 3/2,
New number = \frac{3}{2}\times x
2
3
×x = \frac{3x}{2}
2
3x
,
While, after dividing by 3/2,
New number = \frac{x}{3/2}
3/2
x
= \frac{2x}{3}
3
2x
According to the question,
\frac{3x}{2}-\frac{2x}{3}=10
2
3x
−
3
2x
=10
\frac{9x-4x}{6}=10
6
9x−4x
=10
\frac{5x}{6}=10
6
5x
=10
\frac{x}{6}=2
6
x
=2
\implies x = 12⟹x=12
Hence, OPTION b is correct.
Learn more :
8\div \frac{7}{3}=?8÷
3
7
=?
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