Question

1. What must be added to each term of the ratio 5:8 so that the new ratio becomes
3:4?
Let'y be added to each term of the ratio 5 : 8. Then,​

Answer 1

Answer:

The number which should be added to make a ratio of 3:4 is 4.

Answer 2

4 must be added to each term of the ratio 5:8 so that the new ratio becomes 3:4.

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Let's solve the given problem:

The old ratio is given as 5 : 8

Let's say the number that must be added to each term of the old ratio be "y".

The new ratio is given as 3 : 4

Therefore, we can form the equation as,

$\frac{5 \:+ \:y}{8 \:+ \:y} = \frac{3}{4}$

$\implies 4 (5 + y) = 3 (8 + y)$

$\implies 20 + 4y = 24 + 3y$

$\implies 4y - 3y = 24 - 20$

$\implies \bold{y = 4}$

Thus, 4 must be added to each term of the ratio 5:8 so that the new ratio becomes 3 : 4.

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