Question

The difference between two numbers is 7. If 6 times the smaller plus twice the larger is 78, then the
numbers are
(A) 8, 15
(B) 9, 16

(C) 7,14
(D) 6,13​

Answer 1

Answer:

8,15

Step-by-step explanation:

15-8=7

6*8+2*15=78

Answer 2

Answer:

Answer is option B

Step-by-step explanation:

let the two numbers be ( a $ b)

From the first interpretation

a-b = 7 ..........eq1

6a + 2b = 78 ..... eq2

Multiply eq1 by 2

_______________

2a - 2b = 14.....eq3

6a + 2b = 78....eq4

____________(subtract eq4 from 3)

-4a = -64

Divide through by (-4)

-4a = -64

____ _____

-4. -4

a = 16

substitute the value of a in eq 1

from,

a - b = 7

16 - b = 7

b = 16-7

b = 9

a = 16

b = 9