Step-by-step explanation:
Let the larger number be x and smaller number be y.
→ Sum of two numbers = 90
→ x + y = 90_(1)
Also,
→ Larger number = 14 + 3(Smaller number)
→ x = 14 + 3y_(2)
Substitute the value of x from equation (2) to (1) :
→ x + y = 90
→ 14 + 3y + y = 90
→ 14 + 4y = 90
→ 4y = 90 - 14
→ 4y = 76
→ y = 76 ÷ 4
→ y = 19
And, from the equation (2) ;
→ x = 14 + 3y
→ x = 14 + 3(19)
→ x = 14 + 57
→ x = 71
Therefore, larger number is 71 and smaller number is 19.
