Question

Sum of two numbers is 85. If one exceeds the other by 15, find first number.

Answer 1

Given : -

• Sum of two numbers is 85. If one exceeds the other by 15, find first number.

To find : -

• First number

Solution : -

★ Let the first number be x then second number be (x + 15)

• Sum of two number = 85

According to the question

→ x + (x + 15) = 85

→ x + x + 15 = 85

→ 2x + 15 = 85

→ 2x = 85 - 15

→ 2x = 70

→ x = 70/2 = 35

Hence,

• First number = x = 35
• Second number = x + 15 = 50

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• The sum of two numbers = 85

• One of the numbers exceeds the other by 15

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The first number

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Let the first number be ' x '

Given, one number exceeds the other by 15

The second number = (x + 15)

According to the question:-

$(x + 15) + x = 85 \\ \\ \implies x + 15 + x = 85 \\ \\ \implies 2x + 15 = 85 \\ \\ \implies2x = 85 - 15 \\ \\ \implies2x = 70 \\ \\ \implies x = \frac{70}{2} \\ \\ \implies x = 35$

$\large\purple{\underline{{\boxed{\textbf{The\:first\: number = 35}}}}}$