Question

please answer the question by solving​

Answer 1

Answer:

The number to be subtracted from 5, 9, 17, and 37 = 2

Step-by-step explanation:

Let the number to be subtracted from 5, 9, 17, and 37 be x.

Since (5 - x), (9 - x), (17 - x) and (37 - x) are in proportion,

∴ $\frac{5 - x}{9 - x} = \frac{17 - x}{37 - x}$

Cross multiply both the sides.

∴ (5 - x)(37 - x)  =  (9 - x)(17 - x)

⇒ $185 - 5x - 37x + x^{2} = 153 - 9x - 17x + x^{2}$

Since $x^{2}$ is a like term present on both sides, cancel $x^{2}$ on both sides.

So, we will get-

185 - 42x = 153 - 26x

Solve the equation now, and we will get our answer.

185 - 153 = 42x - 26x

32 = 16x

∴ x = $\frac{32}{16}$

x = 2

∴The number to be subtracted from 5, 9, 17, and 37 = 2