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. What is the second number?
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Answered by
0
Answer:
Step-by-step explanation:
x + y + z = 98
x / y = 2 / 3 ---> x = 2y / 3
y / z = 5 / 8 ---> z = 8y / 5
2y / 3 + y + 8y /5 = 98
10y / 15 + 15y / 15 + 24y / 15 = 98
49y /15 = 98
y / 15 = 2
y = 30.
the second number is 30.
Answered by
0
Answer:
Step-by-step explanation:
Solution:
Let the three numbers be x, y and z.
Sum of the numbers is 98.
x + y + z = 98………………(i)
The ratio of the first to the second is 2/3.
x/y = 2/3.
x = 2/3 × y.
x = 2y/3.
The ratio of the second to the third is 5/8.
y/z = 5/8.
z/y = 8/5.
z = 8/5 × y.
z = 8y/5.
Put the value of x = 2y/3 and z = 8y/5 in (i).
2y/3 + y + 8y/5 = 98
49y/15 = 98.
49y = 98 × 15.
49y = 1470.
y = 1470/49.
y = 30 .
Therefore, the second number is 30.
Answer: (c)
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