Question

Sum of two numbers is 95. If one number exceeds the other by 15, find the numbers​

Answer 1

Answer:

40 and 55

Step-by-step explanation:

Summary: If the sum of two numbers is 95 and if one exceeds the other by 15, the numbers are 40 and 55.

Answer 2

Answer:

Given :-

Sum of two numbers is 95.

One exceeds the other by 15.

To Find :-

What are the numbers.

Solution :-

Let,

$\leadsto \bf{First\: number =\: y}$

$\leadsto \bf{Second\: number =\: y + 15}$

Given :

$\bullet$∙ Sum of two numbers is 95.

According to the question,

$\implies \sf y + y + 15 =\: 95$

$\implies \sf 2y + 15 =\: 95$

$\implies \sf 2y =\: 95 - 15$

$\implies \sf 2y =\: 80$

$\implies \sf y =\: \dfrac{\cancel{80}}{\cancel{2}}$

$\implies \sf y =\: \dfrac{40}{1}$

$\implies \sf\bold{\purple{y =\: 40}}$

Hence, the required numbers are :

➲ First Number :

$\longrightarrow \sf First\: number =\: y$

$\longrightarrow \sf\bold{\red{First\: number =\: 40}}$

➲ Second Number :

$\longrightarrow \sf Second\: number =\: y + 15$

$\longrightarrow \sf Second\: number =\: 40 + 15$

$\longrightarrow \sf \bold{\red{Second\: number =\: 55}}$

${\small{\bold{\purple{\underline{\therefore\: The\: numbers\: are\: 40\: and\: 55\: .}}}}}$