the sum of jay and malhar ages is 34 years. jay iss 6 years older than malhar. find their present ages.
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Answered by
5
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.
Answered by
1
Answer:
Jay's age
x+6=14+6=20
malhar's age =x=14
Step-by-step explanation:
let the age of jay be( x+6)and malhar x
sum of their ages is 34
x+6+x=34
2x+6=34
2x=34-6
2x=28
x=28/2
x=14
Now,
Jay's age
x+6=14+6=20
malhar's age =x=14
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