the sum of the two numbers is 240 if 7% of one number is equal to 8 % of the Other find the numbers
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Let the two numbers be X and Y
According to question,
Case 1
X + Y = 240. ....(1)
Case 2
7% × X = 8% × Y
7/100 × X = 8/100 × Y
7X = 8Y
X = 8Y/7.
Putting the value of X in equation (1), we get
8Y/7 + Y = 240
(8Y + 7Y)/7 = 240
15Y = 240 × 7
Y = (240 × 7)/15
Y = 112
And
X = 8Y/7 = (8 × 112)/7
X = 8 × 16 = 128
Answer.
The two numbers are 112 and 128
According to question,
Case 1
X + Y = 240. ....(1)
Case 2
7% × X = 8% × Y
7/100 × X = 8/100 × Y
7X = 8Y
X = 8Y/7.
Putting the value of X in equation (1), we get
8Y/7 + Y = 240
(8Y + 7Y)/7 = 240
15Y = 240 × 7
Y = (240 × 7)/15
Y = 112
And
X = 8Y/7 = (8 × 112)/7
X = 8 × 16 = 128
Answer.
The two numbers are 112 and 128
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