Question

The sum of two numbers is 90 and the greatest number exceeds thrice the smallest by 14. Find the number

Answer 1

Step-by-step explanation:

✯︎ Answer :

• The two numbers are 19 and 71.

✯︎ Question :

• The sum of two numbers is 90 and the greatest number exceeds thrice the smallest by 14. Find the number.

✯︎ To find :

• The required numbers.

✯︎ Solution :

➩ Given that the sum of two numbers is 90 and the greater number exceeds thrice the smallest by 14.

Let the smaller number be x.

As the sum of two numbers is 90,

the greater number will be 90 - x.

Thrice the smaller number = 3x

➥ According to the problem,

➩ 90 - x = 3x + 14

➥ Solving this :

⇒ 90 - x = 3x + 14

⇒ 90 - 14 = 3x + x

⇒ 76 = 4x

⇒ x = 76/4

⇒ x = 19

➥ We got the value of x = 19.

Smaller number = x = 19

Greater number = (90 - x) = (90 - 19) = 71

Hence, the two numbers are 19 and 71.