the sum of jay and malhar ages is 34 years. jay iss 6 years older than malhar. find their present ages.
Answers
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. \;