divide 56 into parts such that 3 times the ist number exceeds 1/3 times the 2nd number by 48 find the numbers...
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let one part be x and the other part be 56-x
3x = 1/3(56-x) + 48
9x= 56-x+144
10x=200
x =20
56-x= 36
3x = 1/3(56-x) + 48
9x= 56-x+144
10x=200
x =20
56-x= 36
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Let one part of 56 be 'x'. Then the other will be (56-x).
3 times first number=3x
1/3 times the 2nd number=(1/3)(56-x)
By the given condition, 3 times first number exceeds 1/3 times the second by 48.
So,
3x = (1/3)(56-x) + 48
9x = 56-x+144
10x=200
x=20
So,
56-x=56-20=36
So, the number is divided into 20 and 36.
3 times first number=3x
1/3 times the 2nd number=(1/3)(56-x)
By the given condition, 3 times first number exceeds 1/3 times the second by 48.
So,
3x = (1/3)(56-x) + 48
9x = 56-x+144
10x=200
x=20
So,
56-x=56-20=36
So, the number is divided into 20 and 36.
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Let x be the first number and y be the second number:
Condition(1): x + y = 56
Condition(2): 3x - (1/3)y = 48
multply equation(2) by 3: 9x -y = 144 add this equation to equation(1)
result: 10x = 200,
hence x = 20 and y = 36.
check ans. by substitution.
Condition(1): x + y = 56
Condition(2): 3x - (1/3)y = 48
multply equation(2) by 3: 9x -y = 144 add this equation to equation(1)
result: 10x = 200,
hence x = 20 and y = 36.
check ans. by substitution.
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LET Ist NUMBER BE X
SECOND NUMBER = 56 - X
3X = 1/3 ( 56 -X ) +48
9X = 56 - X + 144
10X = 200
X = 20
ANSWER NUMBERS ARE 20 & 36
SECOND NUMBER = 56 - X
3X = 1/3 ( 56 -X ) +48
9X = 56 - X + 144
10X = 200
X = 20
ANSWER NUMBERS ARE 20 & 36
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suppose x & y are that two nos. now by using both the conditions x+y=56; and 3x-y/3 = 48
now you can solve these equations (any way) to get values of x & y, that's it.
now you can solve these equations (any way) to get values of x & y, that's it.
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Go to class 5th of any school....