1/5 of a number is 5/8 times another number. If 35 is added to the

Question

\frac{1}{5}  of a number is  \frac{5}{8}  times another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.

A. 25
B. 39
C. 40
D. 70
E. 110

gurmukh · Answer

1/5a=5/8b
a+35=4b
1/5 (4b-35) =5/8b
4/5b- 7=5/8b
4/5b-5/8b=7
7/40b=7
b=40

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Abhishek009 · Answer

Try using options -

Check with option (C) coz it is divisible by 8

So,  \frac{5}{8}*40  =  \frac{a}{5}

Or,  a = 125  &  b = 40

Now, check the condition -

125 + 35 = 160 = 4*40

Hence, Answer must be (C)

ScottTargetTestPrep · Answer

We can create the equations:

n/5 = 5y/8

8n = 25y

and

n + 35 = 4y

Multiplying the above equation by 8, we have:

8n + 280 = 32y

Substituting, we have:

25y + 280 = 32y

280 = 7y

40 = y

Answer: C

GaurSaini · Answer

(1/5)a = (5/8)b
=> 8a = 25b
=> 8a-25b = 0. ....(i)

a+35 = 4b
=> a-4b = -35
multiply the equation by '8'

8a-32b = -280 .....(ii)

(i) - (ii)

7b=280
=> b=40

minustark · Answer

x/5 = 5/8*y

x +35 = 4y

x = 4y - 35

Replacing x, 4y- 35/5 = 5y/8 or, 32y -280 = 25y or, 7y = 280 so, y =40

1/5 of a number is 5/8 times another number. If 35 is added to the

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1/5 of a number is 5/8 times another number. If 35 is added to the

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