Question

Two numbers are in the ratio 3: 7. If 4 is added to each of them, then the ratio becomes 1:2 find
the numbers.​

Answer 1

Answer:

Let the common multiple of the terms in the ratio be x.

Therefore, the ratio becomes 3x÷7x

According to the given condition,

3x+4÷7x+4=1/2

2(3x+4)=7x+4

6x+8=7x+4

x+4=8

Therefore,x=8-4

x=4

Therefore, the numbers are,

3x=3×4=12

7x=7×4=28

Answer 2

Given:-

${\rm \pink{Ratio \: of \: two \: numbers \: = \: 3 \: : \: 7}}$

To Find:-

${\rm \green{The \: numbers.}}$

Solution:-

Let the numbers be 3x and 7x

If 4 is added, the numbers are 3x + 4 and 7x + 4

$\therefore$ According to the question,

${\rm \red {\bf \frac{3x + 4}{7x + 4 \:}}}$ ${\rm \red {\bf {=}}}$ ${\rm \red {\bf \frac{1}{2}}}$

$\bf => \: 2(3x \: + \: 4) \: = \: 1(7x \: + \: 4)$

$\bf => \: 6x \: + \: 8 \: = \: 7x \: + \: 4$

$\bf => \: 7x \: – \: 6x \: = \: 8 \: – \: 4$

$\bf => \: x \: = \: 4$

Now, by putting the value of x = 4, we get,

3x = 3 × 4 = 12

7x = 7 × 4 = 28

${\rm \red{The \: numbers \: are \: 12 \: and \: 28}}$${\rm \blue{[Ans]}}$

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