Question

The number which has the same ratio to 26 that 6 has to 13 is
(a) 11
(b) 10
(c) 21

Answer 1

Answer :- In such problems, one has to set ratio equation between the given values.

Let us imagine that the number is x

The ratio of 6 to 13 is 6 / 13

This ratio should be equal to ratio of number x and 26 means x / 26

6 / 13 = x / 26

13x = 26 × 6

x = 26 × 6 / 13

x = 2 × 6

x = 12

Thus the number is 12 which is having same ratio with 26 as 6 is having with 13

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Answer 2

Given: Given three numbers are 26,6 and 13 where 6 has a ratio with 13.

To find: We have to find the number which has same ratio to 26 that 6 has to 13.

Solution:

Ratio represents the comparison of two numbers and give the relation of two numbers.

Let the number is x which has ratio to 26 that 6 has to 13.

So, we can equal the ratios of x to 26 and 6 to 13.

We can also write the ratio in terms of fraction.

$x:26 = 6:13 \\ \frac{x}{26} = \frac{6}{13} \\ x = 26 \times \frac{6}{13} \\ x = 12$

The value of x is 12.

So, 12 has the same ratio to 26 that 6 has to 13.