I think of a pair of numbers. if i add 7 to the first, i obtain a number which is twice the second. if i add 20 to the second, i obtain a number which is four times the first. what are the numbers?
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let the 2 no be x and y.
then
x + 7 = 2y. and 20 + y = 4x
x= 2y -7.
so 20 + y = 4(2y - 7)
20 + y = 8y - 28
8y - y = 20 + 28
7y = 48
y = 48/7
so x = 2 × 48/7 -7
x =(96/7)-7
x =(96-49)/7
x = 47/7
then
x + 7 = 2y. and 20 + y = 4x
x= 2y -7.
so 20 + y = 4(2y - 7)
20 + y = 8y - 28
8y - y = 20 + 28
7y = 48
y = 48/7
so x = 2 × 48/7 -7
x =(96/7)-7
x =(96-49)/7
x = 47/7
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