Question

.Two natural numbers differ by . If is added to greater number then it becomes equal to twice the smaller number. Those two numbers are: _____, _____.Required to answer. Single choice.



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Answer 1

Answer:

ANSWER

Let the two numbers be x and y.

It is given that two numbers differ by 7 that is:

x−y=7..........(1)

Also, twice the greater number added to five times the smaller gives 42 that is:

2x+5y=42..........(2).

Multiply the equation 1 by 2:

2x−2y=14..........(3)

Now subtract equation 3 from equation 2 to eliminate x, because the coefficients of x are same. So, we get

(2x−2x)+(5y+2y)=42−14

i.e. 7y=28

i.e. y=4

Substituting this value of y in (1), we get

x−4=7

i.e. x=11

Hence, the two numbers are 11 and 4.