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How old is dhoni now?

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how old is doni now

Dhoni is now two fifth of his older brother’s age and two years from now he will be half of his older brother’s age.

Two years ago, dhoni was only one-fourth the age of his older brother age at that time.
How old is dhoni now ?

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Lets assume dhoni and his older brother are x and y years old as of now.
so x = 2y/5;
and
x+2 = (y+2)/2 => 2x +4 = 2+y => 2x – 5x/2 = -2 => x/2 = 2 => x = 4
and
x-2 = (y-2)/4 => 4x – 8 = y-2 => 4x – 5x/2 = 6 => 3x/2 = 6 => x = 4
and y = 10
so dhoni is 4years old now.

How many oranges were there in the basket ?

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basket of oranges

 

You have a basket of Oranges
You gave your mom half of them and half an orange
then, you gave your dad half of whats left & half an orange,
Finally you gave your sister half of whats left & half an orange
and the basket became empty.
How many oranges were there in the basket ?


this puzzle is shared by Fun Riddles on puzzless facebook page
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As basket became empty after you gave oranges to your sister, you must be having 1 orange before it.
Now you must be having 3 oranges before you came to your dad(as you gave 1.5 + 0.5 oranges to him)
Similarly you must be having 7 oranges before you came to your mom(as you gave 3.5 + 0.5 oranges to her)

Fill in the check

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dollar cents check misplaces

I cashed a check

By mistake the cashier gave me cents instead of dollars and dollars instead of cents. I spent five cents on the way home, and then discovered that i possessed exactly twice the amount of the check. What was the exact amount on the check ?

this puzzle is shared by leonard henderson on our facebook page
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lets assume the amount in the check was x dollars and y cents
though he received y dollars and x cents

after spending 5 cents, his money is twice the amount on the check, i.e. 100y+x -5 = 2(100x + y)
98y = 199x + 5

we need to find two numbers in the exact multiple series of 98 and 199 which differs by 5.
98’s multiple series: 98,196,294,392,490,588,686,784,882,980,1078,1176,1274,1372,1470,1568,1666,1764,1862,1960,2058,2156,2254,2352,2450,2548,2646,2744,2842,2940,3038,3136,3234,3332,3430,3528,3626,3724,3822,3920,4018,4116,4214,4312,4410,4508,4606,4704,4802,4900,4998,5096,5194,5292,5390,5488,5586,5684,5782,5880,5978,6076,6174

199’s multiple series: 199,398,597,796,995,1194,1393,1592,1791,1990,2189,2388,2587,2786,2985,3184,3383,3582,3781,3980,4179,4378,4577,47764975,5174,5373,5572,5771,5970,6169,6368,6567,6766,6965,7164,7363,7562,7761,7960,8159,8358,8557,8756,8955,9154,9353,9552,9751,9950

 

98*63 = 199*31 +5

thus the amount on the check was 31 dollar and 63 cents.

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