Question

Sec theta +tan t15 years ago shyam was twice as old as prabhat. Five years from now prabhat age willbe 5/8 of shyam age what is shyam current age

Answer 1

Answer:

Shyam's current age is 75 years

Step-by-step explanation:

Let the ages of shyam and prabhat be x and y respectively.

As per given data, we get

$x-15=2(y-15)$.............(1)

$y+5=\frac{5}{8}(x+5)$.......(2)

$y+5=\frac{5}{8}[(x-15)+20]$ (Add  and subtract 15)

$8(y+5)=5[(x-15)+20]$

$8(y+5)=5[2(y-15)+20]$

$8(y+5)=5[2y-30+20]$

$8(y+5)=5[2y-10]$

$8y+40=10y-50$

$50+40=10y-8y$

$90=2y$

$y=\frac{90}{2}$

$y=45$

put y=45 in (1) we get

$x-15=2(45-15)$

$x-15=2(30)$

$x-15=60$

$x=60+15$

$x=75$