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2 years ago

6

A number x multiplied by 4/7 is less than 12/5

1 answer:

morpeh [17]2 years ago

7 0

Step-by-step explanation:

$a \: number \: x \: multiplied \: by \: \frac{4}{7 } \\ x \times \frac{4}{7 } \\ is \: less \: than \frac{12}{5} \\ x \times \frac{4}{7 } < \frac{12}{5} \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times \frac{4}{7} < \frac{12}{5} \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\ \frac{700}{700} x < \frac{84}{700 } \\ x < \frac{84}{700} or \: 0.12$

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2 years ago

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2 years ago

A number consists of two digits whose sum is 12. If 16 is added to the number, then one of the digits is four times the value of

NeX [460]

Answer: The number is 12.

Step-by-step explanation:

Since we have given that

Sum of two digits = 12

Let the one's digit be 'x'

Let the ten's digit be '12-x'

So, Original number would be

$x+10(12-x)\\\\=x+120-10x\\\\=-9x+120$

If 16 is added to the number, then one of the digit is four times the value of the other.

According to question, we get that

$-9x+120+16\\\\=-9x+136$

so, the one's digit be 'x'.

Let the ten's digit be '4x'.

so, New number would be

$10x+4x=14x$

According to question, it becomes,

$14x=-9x+136\\\\14x+9x=136\\\\23x=136\\\\x=\dfrac{136}{23}=12$

So, the number would be

$-9x+120=-9\times 12+120=-108+120=12$

Hence, the number is 12.

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2 years ago