Two numbers are in the ratio 3: 7. If 1 is added to the smaller number and 7 is added to the larger, they will be in the ratio 1
1 answer:
Answer:
6 and 14
Step-by-step explanation:
The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )
adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then
3x + 1 : 7x + 7 = 1 : 3
Expressing the ratio in fractional form
=
( cross- multiply )
3(3x + 1) = 7x + 7
9x + 3 = 7x + 7 ( subtract 7x from both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus the numbers are
3x = 3(2) = 6
7x = 7(2) = 14
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