Seema is 10 years elder than rekha. The ratio of their ages is 5:3. Find their ages
Answers
Answer:
seema is 25years old and rekha is 15 years old
Step-by-step explanation:
let rekha's age be x
so seema's age will be x+10
x + 10/x=5/3
3x +30=5x
3x-5x=-30
-2x=-30
x=15
so x+10=15+10=25
may these help you
.
➡Given here.
↪Let,
♠ Age of seema = X.
♠ Age of Rekha. = Y.
➡According to Questions.
↪Age of Seema= 10+ Age of Rekha.
➡Then,
=> X = 10+Y.
=> X-Y = 10 ...................(1)
And,
➡Ratio of there ages ,
=> X:Y = 5:3
=> X/Y = 5/3
=> 3X - 5Y = 0 .................(2)
➡Then, Multiply by 3 in (1),
♠ 3X -3Y = 30 ..............(3)
♠ 3X -5Y = 0..................(4)
[ Subtract its (3)-(4) ]
=> 2Y = 30
=> Y = 15.
➡Keep Y =15 in (1),
=>X -15 = 10
=>X = 25.
➡Thus:-
♠ Age Of Seema (X) = 25.
♠ Age Of Rekha (y) = 15.
➡Explanations
↪Seema is 10 year elder than Rekha .
=> X = 10+Y
=> 25 = 10+15
=>25 = 25
♠ That's Proved .