Question

The sum of two numbers is 35.Four times the larger number is 5 more than 5 times the smaller number.Find these numbers

Answer 1

Answer:

x=145/9

y=170/9

hope it helps u

Answer 2

Given,

• The Sum of Two Numbers is 35.
• Four times the larger number is 5 more than 5 times the smaller number.

To Find,

• The Number

Solution :

$\implies$ Suppose the First Number be a

And, Suppose the Second Number be b

$\mapsto \underline{\sf{\pink{According \ to \ the \ First \ Condition :}}}$

• The Sum of two Numbers is 35.

$\implies \sf{a + b = 35}$

$\implies \boxed{\sf{b = 35 - a}}$   1) Equation

$\mapsto \underline{\sf{\pink{According \ to \ the \ Second \ Condition :}}}$

• Four times the larger number is 5 more than 5 times the smaller number.

$\implies \sf{4b = 5a + 5}$   2)Equation

║From the First Equation the Value of b put in the Second Equation║

$\implies \sf{4(35 - a) = 5a + 5}$

$\implies \sf{140 - 4a = 5a + 5}$

$\implies \sf{140 - 5 = 5a + 4a}$

$\implies \sf{135 = 9a}$

$\implies \sf{a = \dfrac{135}{9}}$

$\implies \boxed{\sf{a = 15}}$

║Now Put the Value of a in First Equation║

$\implies \sf{b = 35 - a}$

$\implies \sf{b = 35 - 15}$

$\implies \boxed{\sf{b = 20}}$

Therefore,

$\boxed{\bold{\red{First \ Number = a = 15}}}$

$\boxed{\bold{\red{Second \ Number = b = 20}}}$

$\rule{200}2$