Question

The product of two number is 18 and
The sum of thier squares is 45 The sum
of the number is?​

Answer 1

Correct Ans is ✒:

9 ✔

$\LARGE \tt \purple{❃\underline{ \pink{ \underline \pink{\overline{ \purple{\overline{\red{E} \green x \blue p \red l \orange a\green n\pink a \purple t \red i \orange o \green N}}} }} }❃ }$

✮Given:

• Product of two numbers = 18 ...(1)
• sum of thier squares = 45 ...(2)

✮To find:

• Sum of both numbers

$\Large{ \green♡\sf{\green{{ \underline{\rm{S}olutio\rm{N}}}}} \green♡}$

Let the First no. be 'a' and second no. be 'b'.

Then,

⇝From (1),

⇨a×b = 18 ...(3)

Also,

⇝From (2) ,

⇨a² + b² = 45 ...(4)

Now,

We know that,

✑ (a+b)² = a² + b² + 2ab

Or, (a+b)² = 45 + 2×18 ⇝ [by using (3) and (4) ]

Or, (a+b)² = 81

Or, (a+b) = √(81) = 9

$\large{ \sf{ \red ✑\green{\rm{H}enc\rm{E᭄}}}}$ $\tt \large \pink⇝ \red { \fbox{Sum of the numbers is 9}}$

ㅤㅤㅤㅤㅤㅤ

$\Large {\mathtt{\red{\underline{ \blue{\underline{\green{\underline{\purple E \orange N \pink D}}}}}}}}$﹏﹏﹏﹏﹏﹏﹏✍

ㅤㅤㅤㅤㅤ✦✦✦ㅤㅤ

$﹏﹏﹏﹏﹏﹏\large\mathtt{ \pink{\rm Pratyus\rm h \: \rm Gauta\rm m}✏}$

ㅤㅤㅤㅤㅤㅤ

Answer 2

Answer:

9 is the correct answer of question