Question

Can someone help me with this? giving brainliest to correct answer!

Answer 1

Answer:

see explanation

Step-by-step explanation:

(a)

x + y = 15 → (1)

(b)

xy - yx = 27 ( take into account the place value of the digits )

10x + y - (10y + x) = 27

10x + y - 10y - x = 27

9x - 9y = 27 → (2)

(c)

Multiply (1) by 9

9x + 9y = 135 → (3)

Add (2) and (3) term by term to eliminate y

18x = 162 ( divide both sides by 18 )

x = 9

Substitute x = 9 into (1)

9 + y = 15 ( subtract 9 from both sides )

y = 6

Thus the original number = (9 × 10) + 6 = 90 + 6 = 96