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12 Oct 2024, 10:16
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73% (02:13) correct
27%
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One-fourth of a number is equal to two-fifth of another number. If 50 is added to the larger number, it becomes two times the second number. What is the smaller number?
A. 75
B. 80
C. 100
D. 125
E. 130
A. 75
B. 80
C. 100
D. 125
E. 130
12 Oct 2024, 10:53
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Nuriin
One-fourth of a number is equal to two-fifth of another number.
- First Number = x
- Second Number = y
\(\frac{x}{4} = \frac{2y}{5}\)
\(\frac{x}{y} = \frac{8}{5}\)
Hence, we can conclude that \(x > y\)
If 50 is added to the larger number, it becomes two times the second number.
\(x + 50 = 2y\)
\(\frac{8y}{5} + 50 = 2y\)
\(8y + 250 = 10y\)
\(2y = 250\)
\(y = 125\)
Option D
12 Oct 2024, 13:12
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One-fourth of a number is equal to two-fifth of another number. If 50 is added to the larger number, it becomes two times the second number. What is the smaller number?
Let the number be x
x/4 = 2/5y ----- 1
5x/20 = 8y/20 (Hence x is big, y is small)
x+50 = 2y
x = 2y- 50 ----2
(2y-50)*5 = 8y
10y - 250 = 8y
2y=250
y=125
Let the number be x
x/4 = 2/5y ----- 1
5x/20 = 8y/20 (Hence x is big, y is small)
x+50 = 2y
x = 2y- 50 ----2
(2y-50)*5 = 8y
10y - 250 = 8y
2y=250
y=125
