Question

14 -x / 17-x = 34-x/ 42-x. Then x=?

Answer 1

Hi...☺

Here is your answer...✌

$\frac{14 - x}{17 - x} = \frac{34 - x}{42 - x} \\ \\ (14 - x)(42 - x) = (34 - x)(17 - x)$

14×42-14x-42x+x² = 34×17-34x-17x+x²

588 - 56x = 578 - 51x

588 - 578 = -51x + 56x

10 = 5x

=> x = 10/5

=> x = 2

Answer 2

cross product ....
14(42_ a)_ a(42_a)=17(34_a)_a(34_a)
588-14a -42a+a^2=578_17a_34a+a^2
588-578- 14a+17a-42a+34a+a^2_a^2
10+3a-8a
10-5a
_5a=-10
_a=-10/5
_a=-2
a=2
hence value of a is 2