Explanation:

J=E+8 First equation

J+5+E+5=78 Second equation, next combine terms

J+E=68 Add first equation to this equation

J-E=8 Adding gives

2J=76

J=38 Jay is 38 and Ellen is 30. To check add 5 to each of their ages and the sum should be 78.

38 + 5 +30 + 5 = 78 CHECK!

Explanation:

Given: The Sum of Jay and Malhar ages is 34 years. & Jay is six years older than Malhar.

Need to find: Their present ages?

AnSwer: Let the present age of Jay and Malhar be x years and y years respectively.

• As Per Given Condition :

The Sum of Jay and Malhar ages is 34 years.

➟ (Jay + Malhar) = 34

➟ x + y = 34 ⠀⠀⠀⠀⠀⠀⠀⠀⠀—eqₙ. ( I )

Also,

It' is also given that, Jay is six years older than Malhar.

➟ x – y = 6 ⠀⠀⠀⠀⠀⠀⠀⠀⠀—eqₙ. ( II )

━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀

» From eqₙ ( I ) & eqₙ ( II ) :

⇥ (x + y) + (x – y) = 34 + 6

⇥ 2x = 40

⇥ x = 40⁄2

⇥ x = 20

━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀

✇ Putting the Value of x in eqₙ ( I ) :

⇥ x + y = 34

⇥ 20 + y = 34

⇥ y = 34 – 20

⇥ y = 14

∴ Hence, present age of Jay and Malhar are 20 years and 14 years respectively. \;