Question

Two numbers are in the ratio 7:5. The smaller number is 16 less than the bigger number. What is the bigger number ?

Answer 1

The bigger number is 56

Explanation:

`(x)/(y)` =
`(7)/(5)` cross multiply

5x = 7y

y = x -16 substage x-16 in the equation above for y

5x = 7( x - 16)

5x = 7x - 112 Subtract 7x from both sides

-2x = -112 Divide both sides by -2

x = 56

Check:

y = x - 16

y = 56 - 16

y = 40

5x = 7y

5(56) = 7(40)

280 = 28

y = x - 16

40 = 45-16

40 = 40