Question

Find a number such tha
Rafeeq's father is time
age. Find their present
I think of a number. If !​

Answer 1

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Answer 2

$\large{\underline{\sf{\blue{Correct\: Question}}}}$

Rafeeq's father is 8 times Rafeeq's age. After 2 years, father will be 2 less than 6times Rafeeq's age. Find their present ages.

$\boxed{\sf \green{★ \: Answer:}}$

Given:

• Rafeeq's father is 8 times Rafeeq's age

Condition:

• After 2 years, father will be 2 less than 6times Rafeeq's age.

To find:

• Present age of Rafeeq and his father

_______________________________

$\bf\purple{\implies\:Let\:age\:of\:Rafeeq\:=\: x\:}$

$\bf\purple{\implies\:Let\:age\:of\:Rafeeq's\:father\:=\: y\:}$

$\bf{\pink{\underline{\underline{\purple{Acc. \:to\:the\: condition\:}}}}}$

Equation will be :

$y = 8x$

_______________________________

$\large{\underline{\sf{\pink{After\:2\:years\:}}}}$

$6(x + 2) = y + 2 + 2 \\ since \: y = 8x \\ 6(x + 2) = 8x + 2 + 2$

$6x + 12 = 8x + 4$

$6x - 8x = 4 - 12 \\ - 2x = - 8 \\ x = \frac{ - 8}{ - 2} \\ x = 4$

$\boxed{\sf \red{★ \: Their\:present\:ages\: :}}$

$\bf\purple{\implies\: rafeeq's\:age\: = \: 4}$

$\bf\purple{\implies\: rafeeq's\:father\:age\: = \:8* 4}$

$\bf\purple{\implies\: rafeeq's\:father\:age\: = \: 32}$