## Do as directed: (i) The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers. (2 marks) (ii) E

Question

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## Answers ( )

Suppose the smaller number is X and the larger is Y

So, according to question,

Y-X =7………………(1)

Secondly,

Y+6X = 77…………..(2)

Now, by substracting no 1 from no 2 we get,

(Y + 6X) -(Y – X) = 77 – 7

7X = 70

X = 70/7

X = 10

So the smaller is 10

And the larger is (10+7) = 17

Ans: 10 , 17