Math, asked by larencelnkgd, 3 months ago

Shobo mother present age is 6 times was present at Shobo is 5 years from now will be one third of his mother present as what are their present age​


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Answers

Answered by Blossomfairy
45

Given :

  • Shobo mother present age is 6 times was present at Shobo is 5 years.

  • From now his age will be 1/3 of his mother present age.

To find :

  • His mother's present age &
  • Age of Shobo's present age

According to the question,

Let,

  • The age of Shobo's be x
  • The age of Shobo's mother be 6x

➝ x + 5 = 1/3 × 6x

➝ x + 5 = 2x

➝ 5 = 2x - x

➝ 5 = x

Value of x :

➝ x

➝ 5

Value of 6x :

➝ 6x

➝ 6(5)

➝ 30

So,

  • The age of Shobo is 5 years.
  • And the age of Shobo's mother is 30 years.

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Answered by DARLO20
49

ƢƲЄƧƬƖƠƝ ;-

Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one-third of his mother's present age. What are their present ages?

ƛƝƧƜЄƦ ;-

\Large\bf\pink{Let,} \\

  • Shobo's present age is X year's.

\Large\bf{\underline{\bf{\color{cyan}GiVeN,}}} \\

  • Shobo's mother's present age is six times Shobo's present age.

\longmapsto\:\:\bf\blue{Shobo's\:mother's\:present\:age\:=\:6X} \\

\bf\purple{5\:years\:later,} \\

\longmapsto\:\:\bf\pink{Shobo's\:age\:=\:(X\:+\:5)\:years} \\

\bf\red{According\:to\:the\:question,} \\

  • Shobo's age five years from now will be one-third of his mother's present age.

:\implies\:\:\bf{X\:+\:5\:=\:\dfrac{1}{3}\:(6X)\:} \\

:\implies\:\:\bf{3X\:+\:15\:=\:6X\:} \\

:\implies\:\:\bf{6X\:-\:3X\:=\:15\:} \\

:\implies\:\:\bf{3X\:=\:15\:} \\

:\implies\:\:\bf{X\:=\:\dfrac{15}{3}\:} \\

:\implies\:\:\bf\orange{X\:=\:5\:} \\

\Large\bold\therefore The present age of Shobo is 5 years.

━─━─━─━─━─━─━─━─━─━─━─━─━─━─━

\bf\blue{We\:know\:that,} \\

➣ Shobo's mother's present age = 6X

➣ Shobo's mother's present age = 6 × 5

:\implies\:\bf\green{Shobo's \:mother's \:present \:age\:=\:30\:years} \\

\Large\bold\therefore The present age of Shobo's mother is 30 years .


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