Question

If x∝y and x₁=5,y₁=210 and x₂ = 2, then find y₂?200
84
99
70​

Answer 1

Given:

• $\sf x\propto y$ .
• $\sf x_1=5,y_1=210,x_2=2$.

To find :

• $\sf {y_2}$.

Solution:-

Table:-

$\boxed{\begin {array}{|c|c|c|}\sf x & 5 & 2 \\ \sf y & 210 & ? \end {array}}$

As we know that,

• $\sf if \: x \propto y\:then$

${:}\longmapsto$${\boxed{\sf {x_1y_2=x _2y_1}}}$

• Substitute the values :

${:}\longmapsto \sf 5\times y_2=2\times210$

${:}\longmapsto \sf y_2={\dfrac {2\times210}{5}}$

${:}\longmapsto \sf y_2=\cancel {\dfrac{420}{5}}$

${:}\longmapsto{\underline{\boxed{\bf {y_2=84}}}}$