Question

Write algebraic equation for the following:
(a) Jayant is $6$ years older than Jaya. If the sum of their ages is $30$, what are their ages?
(b) The sum of two consecutive numbers is $61$. What are the numbers?

Answer 1

(a)

Let age of joya be $x$ yrs

$\therefore$ age of jayant =$x+6$ yrs

Sum =$x+x+6=30$

$2x+6=30$
$2x=24$

$x=12$

age of jaya $=12yrs$

age of jayant $=18yrs$

(b)

let the $2$ consecutive no be $x,x+1$

$x+x+1=61$

$2x=60$

$x=30$

$\therefore$ numbers are $30,31$