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Question
The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.
Solution
Let the smallest number = x
and the largest number = y
According to the condition,
y - x = 7 …(i)
and 6x + y = 77 ….(ii)
From eq. (i)
y = 7 + x …(iii)
Substitute the eq. (iii) in eq. (ii)
6x + 7 + x = 77
⇒ 7x = 77 - 7
⇒ x = `70/7 = 10`
Now, substitute the value of x in eq. (iii)
y = 7+ 10= 17
∴ The smallest number 10 and the largest number is 17.
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