Question

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?

Answer 1

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)

Answer 2

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