The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:
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Answers
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is.
let the three numbers be p, q & r .
sum of the numbers is 98.
p+ q + r= 98 -------(1)
the ratio of the first to the second is 2/3.
p/q= 2/3.
p = 2/3 × q.
the ratio of the second to the third is 5/8.
q/r= 5/8
r/q= 8/5
r = 8/5 × q
put the value of p= 2q/3 & r= 8q/5 in equ. (1)
2q/3 + q+ 8q/5=98
49q/15 = 98
49 q = 98 ×15
49 q= 1470
.°. the second the number is 30.
Given :
- The sum of three numbers is 98.
- The ratio of the first to the second is 2/3.
- The ratio of the second to the third is 5/8.
To find :
- The second number
Solution :
Let the first number be x.
Let the second number be y.
Let the third number be z.
As per first condition :
- The sum of three numbers is 98.
x + y + z = 98 ----> (i)
As per second condition :
- The ratio of the first to the second is 2/3.
➟ =
➟
➟ ----> (ii)
As per the third condition :
- The ratio of the second to the third is 5/8.
➟ =
➟
➟ ----> (iii)
Substite values of eqn. 2 and eqn. 3 in eqn. 1,
➟ + + =
➟ =
➟ =
➟ =
➟ =
➟
➟
➟
➟
First Number :
➟
➟
➟
➟
Third Number :
➟
➟
➟
➟