Question

18 the sum of 8 times a number and 9 times of another
number is 186. The sum of 9 times of thefirst
number and 8 times of the second-number is 188. What
are the two numbers?​

Answer 1

Answer:

Let the two nos. be x and y.

8x+9y=186

=>8(8x+9y)=8×186 (Multiplying both the sides with 8)

=>64x+72y=1488.......(1)

9x+8y=188

=>9(9x+8y)=9x188 (Multiplying both the sides with 9)

=>81x+72y=1692........(2)

Subtracting (1) from (2),

81x+72y-64x-72y=1692-1488

=>17x=204

=>x=12

From (1),

8x+9y=186

=>96+9y=186

=>9y=90

=>y=10

So the two nos. are 12 and 10.