The difference of two numbers is 45. The larger number is 5 more than 2 times the smaller number. Find the numbers
A
92 and 49
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B
98 and 40
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C
92 and 48
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D
95 and 40
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Solution
The correct option is D 95 and 40 Let the large number be x and the small number be y Then difference of two numbers =x−y=45 ----- (1) The larger number is 5 more than 2 times the smaller number: x=5+2y ------ (2) Put the value of x in equation (1) Then, 5+2y−y=45 y=45−5 y=40 Now substitute the value of y in equation (1) x−40=45 x=45+40 x=95 Therefore the numbers are 95 and 40.