A student was asked to multiply a number by 3/2.
Insted he divided the number by 3/2 and obtained a number smaller by 3/2;the number is?
Plz explain it.
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A student was asked to multiply a number by 3/2.
Insted he divided the number by 3/2 and obtained a number smaller by 3/2;the number is?
Plz explain it.
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Verified answer
Answer:
the number was 12
Step-by-step explanation:
Let assume the given number be P. Then,
(p×3/2)-(p÷3/2)=10
3p/2-2p/3=10
(9p-4p)/6=10
5p=60
p=60/5
p=12
Hence , required number is 12.
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Answer:
4/5
Step-by-step explanation:
Let the number be x
Multiply the number with \frac{3}{2}
23 = \frac{3}{2}x
23 x
Divide the number by \frac{3}{2}
23 =\frac{x}{\frac{3}{2}}=\frac{2}{3}x
23x= 32 x
we are given that a student was asked to multiply a number by 3/2 instead he divided the number by 3/2 and obtained a number smaller by 2/3
So, \frac{3}{2}x-\frac{2}{3}x=\frac{2}{3}
23 x− 32 x= 32
\frac{5x}{6}=\frac{2}{3}
65x = 32
x=\frac{2 \times 6}{3 \times 5}x=
3×5
2×6
x=\frac{4}{5}x= 54
Hence the number is 4/5