The larger of two numbers exceeds twice the smaller number by The sum of twice the larger and 5 times the smaller number is If a is the smaller number, which equation below determines the correct value of a?

A    5(2a+9)+2a=74

B    5(2a-9)+2a=74

C    (4a+9)+5a=74

D    2(2a+9)+5a=74

Solution

Correct Answer: Option D

 

smaller number is a.

If larger number is y. Then, from the first relation,

y= 2a+9

From the second relation,

2y+5a= 74

or, 2(2a+9)+5a=74 [Substituting the value of y from first equation]

 

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