five times of a number is 22 more than 4 times another number.if the sum of three times the bigger number and 7 times the smaller number is 32,what is the smaller number?
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let the 1st no. be x
let the 2nd no. be y
Given,
5x-4y=22____eqn 1
3x+7y=32____eqn 2
eqn 2
3x=32-7y
x=(32-7y)/3
substitute x in eqn 1
5(32-7y)-4y=22
160-35y-4y=22
160-39y=22
39y=160-22
y=(138/39)
let the 2nd no. be y
Given,
5x-4y=22____eqn 1
3x+7y=32____eqn 2
eqn 2
3x=32-7y
x=(32-7y)/3
substitute x in eqn 1
5(32-7y)-4y=22
160-35y-4y=22
160-39y=22
39y=160-22
y=(138/39)
Answered by
1
Answer:
Step-by-step explanation:
Let x be the bigger number and y be the smaller
According to 1st condition
5x-4y=22..........1
According to 2nd condition
3x+7y=32..........2
Multiplying equation no. 1 by 3 and equation no. 2 by 5
15x-12y=66.........3
15x+35y=160........4
Subtracting equation no. 3 and equation no. 4
15x+35y=160
-15x-12y=66
47y=94
y=2
Therefore the smaller number is 2
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