Question

One number is 14 less than another. If their sum is increased by 7, the result is 85. Find the numbers.

Answer 1

The numbers are 46 and 32

Solution:

Let us assume the numbers are x and y.

One number is 14 less than another,

so
`x-14=y` …………. (i)

If their sum is increased by 7, the result is 85

So,
`x+y+7=85`

`\Rightarrow x+y=78`

`\Rightarrow x+x-14=78` (//substituting value from (i))

`\Rightarrow 2 x=92`

`\Rightarrow x=46`

So,
`y=(46-14)=32`

The numbers are 46 and 32.

Answer 2

X + (X - 14) + 7 = 85

2x - 7 = 85

2x = 92

X = 46

Now, 36 - 14 = 32

Therefore, the numbers are 46 and 32.