Question

find the number that must be added to 3 and 8 so that the ratio of the first number to the second number becomes 2:3

Answer 1

Answer:

7

Step-by-step explanation:

x + 3 : x + 8 : : 2 : 3

$(x + 3) \times 3 = (x + 8) \times 2 \\ 3x + 9 = 2x + 16 \\ 3x - 2x = 16 - 9 \\ x = 7 \\ x + 3 = 7 + 3 = 10 \\ x + 8 = 7 + 8 = 15$

10 : 15

2 : 3

Answer 2

The required number is 7.

Step-by-step explanation:

It is given that a number must be added to 3 and 8 so that the ratio of the first number to the second number becomes 2:3.

Let x be the unknown number.

$\dfrac{3+x}{8+x}=\dfrac{2}{3}$

On cross multiplication we get

$3(3+x)=2(8+x)$

using distributive property we get

$3(3)+3(x)=2(8)+2(x)$

$9+3x=16+2x$

Isolate variable terms on left side.

$3x-2x=16-9$

$x=7$

Therefore the required number is 7.

#Learn more

Two numbers are in the ratio of 5:6.When 2 is added to the first and 3 is added to the second, they are in the ratio of 4:5. Find the numbers.

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