Question

the sum of two whole nos.is 256. which of the following can not be their ratios.
a) 1:7. b)5:11
c) 7:17. d)11:21

Answer 1

Answer:

$c) 7:17$

Step-by-step explanation:

Let the common ratio be x

First number=7x

Second Number=17x

$7x+17x=256$

$7x+17x=256$

$x=\frac{256}{24}$

$x=10.666666$

Since x=10.666666666666666666

As the decimal expansion is non-terminating and reccuring.

The the question says it is whole number but the value of x is not whole number.

Answer 2

Answer:

Option (c)

Step-by-step explanation:

(a) 1:7

= 1x+7x = 8x = 256

= x = 32 (It is a whole number, so its products would also be whole numbers.)

(b) 5:11

= 5x +11x = 16x = 256

= x = 16 (It is a whole number, so its products would also be whole numbers.)

(c) 7:17

= 7x + 17x = 24x = 256

= x = 10.66 (It is not a whole number, so its products would also not be whole numbers.)

(d) 11:21

= 11x + 21x = 32x = 256

= x = 8 (It is a whole number, so its products would also be whole numbers.)